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134949888 = 210341627
BaseRepresentation
bin10000000101100…
…10110000000000
3100101221011110000
420002302300000
5234021344023
621220240000
73226024623
oct1002626000
9311834400
10134949888
116a1a2937
1239240000
1321c5c808
1413ccbdba
15bcaa243
hex80b2c00

134949888 has 110 divisors (see below), whose sum is σ = 403234436. Its totient is φ = 44955648.

The previous prime is 134949887. The next prime is 134949907. The reversal of 134949888 is 888949431.

It is a super-2 number, since 2×1349498882 = 36422944542425088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (134949883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 82131 + ... + 83757.

Almost surely, 2134949888 is an apocalyptic number.

134949888 is a gapful number since it is divisible by the number (18) 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 134949888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201617218).

134949888 is an abundant number, since it is smaller than the sum of its proper divisors (268284548).

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

134949888 is an equidigital number, since it uses as much as digits as its factorization.

134949888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1659 (or 1632 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The square root of 134949888 is about 11616.7933613369. The cubic root of 134949888 is about 512.9293018404.

The spelling of 134949888 in words is "one hundred thirty-four million, nine hundred forty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1627 1728 2304 2592 3072 3254 3456 4608 4881 5184 6508 6912 9216 9762 10368 13016 13824 14643 19524 20736 26032 27648 29286 39048 41472 43929 52064 58572 78096 82944 87858 104128 117144 131787 156192 175716 208256 234288 263574 312384 351432 416512 468576 527148 624768 702864 833024 937152 1054296 1249536 1405728 1666048 1874304 2108592 2499072 2811456 3748608 4217184 4998144 5622912 7497216 8434368 11245824 14994432 16868736 22491648 33737472 44983296 67474944 134949888