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135423135252 = 22332383526193
BaseRepresentation
bin111111000011111011…
…0010000111000010100
3110221112212112001122000
41332013312100320110
54204321310312002
6142113523435300
712532624441206
oct1760766207024
9427485461560
10135423135252
1152483913999
12222b4b25b30
13ca025b51c2
1467a9834776
1537c8eed61c
hex1f87d90e14

135423135252 has 48 divisors (see below), whose sum is σ = 351245018880. Its totient is φ = 45122016384.

The previous prime is 135423135251. The next prime is 135423135257. The reversal of 135423135252 is 252531324531.

135423135252 is a `hidden beast` number, since 1 + 3 + 542 + 3 + 13 + 52 + 52 = 666.

It is a super-3 number, since 3×1354231352523 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135423135251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5733 + ... + 520460.

It is an arithmetic number, because the mean of its divisors is an integer number (7317604560).

Almost surely, 2135423135252 is an apocalyptic number.

135423135252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135423135252 is an abundant number, since it is smaller than the sum of its proper divisors (215821883628).

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

135423135252 is a wasteful number, since it uses less digits than its factorization.

135423135252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528589 (or 528581 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

Adding to 135423135252 its reverse (252531324531), we get a palindrome (387954459783).

The spelling of 135423135252 in words is "one hundred thirty-five billion, four hundred twenty-three million, one hundred thirty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 2383 4766 7149 9532 14298 21447 28596 42894 64341 85788 128682 257364 526193 1052386 1578579 2104772 3157158 4735737 6314316 9471474 14207211 18942948 28414422 56828844 1253917919 2507835838 3761753757 5015671676 7523507514 11285261271 15047015028 22570522542 33855783813 45141045084 67711567626 135423135252