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134513555712 = 2834112733637
BaseRepresentation
bin111110101000110100…
…0011111100100000000
3110212012110222122001220
41331101220133210000
54200440432240322
6141443352155040
712501241233624
oct1752150374400
9425173878056
10134513555712
1152057439368
12220a0398a80
13c8b9016463
146720b03184
15377422d55c
hex1f51a1f900

134513555712 has 144 divisors (see below), whose sum is σ = 369632643072. Its totient is φ = 43398512640.

The previous prime is 134513555707. The next prime is 134513555719. The reversal of 134513555712 is 217555315431.

It is a happy number.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (134513555719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3982158 + ... + 4015794.

Almost surely, 2134513555712 is an apocalyptic number.

134513555712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134513555712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184816321536).

134513555712 is an abundant number, since it is smaller than the sum of its proper divisors (235119087360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

134513555712 is a wasteful number, since it uses less digits than its factorization.

134513555712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33824 (or 33810 counting only the distinct ones).

The product of its digits is 315000, while the sum is 42.

The spelling of 134513555712 in words is "one hundred thirty-four billion, five hundred thirteen million, five hundred fifty-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 127 128 164 192 246 254 256 328 381 384 492 508 656 762 768 984 1016 1312 1524 1968 2032 2624 3048 3936 4064 5207 5248 6096 7872 8128 10414 10496 12192 15621 15744 16256 20828 24384 31242 31488 32512 33637 41656 48768 62484 67274 83312 97536 100911 124968 134548 166624 201822 249936 269096 333248 403644 499872 538192 666496 807288 999744 1076384 1332992 1379117 1614576 1999488 2152768 2758234 3229152 3998976 4137351 4271899 4305536 5516468 6458304 8274702 8543798 8611072 11032936 12815697 12916608 16549404 17087596 22065872 25631394 25833216 33098808 34175192 44131744 51262788 66197616 68350384 88263488 102525576 132395232 136700768 175147859 176526976 205051152 264790464 273401536 350295718 353053952 410102304 525443577 529580928 546803072 700591436 820204608 1050887154 1059161856 1093606144 1401182872 1640409216 2101774308 2802365744 3280818432 4203548616 5604731488 8407097232 11209462976 16814194464 22418925952 33628388928 44837851904 67256777856 134513555712