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134406526160 = 2453209523553
BaseRepresentation
bin111110100101101000…
…0001101010011010000
3110211221000120222010102
41331023100031103100
54200231032314120
6141425010151532
712465501423254
oct1751320152320
9424830528112
10134406526160
1152001a86495
12220705825a8
13c89cab116a
146710802264
153769b3ad75
hex1f4b40d4d0

134406526160 has 40 divisors (see below), whose sum is σ = 312593151240. Its totient is φ = 53745754112.

The previous prime is 134406526157. The next prime is 134406526201. The reversal of 134406526160 is 61625604431.

134406526160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5993237056 + 128413289104 = 77416^2 + 358348^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1344065261602 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 5057 + ... + 518496.

It is an arithmetic number, because the mean of its divisors is an integer number (7814828781).

Almost surely, 2134406526160 is an apocalyptic number.

134406526160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134406526160 is an abundant number, since it is smaller than the sum of its proper divisors (178186625080).

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

134406526160 is a wasteful number, since it uses less digits than its factorization.

134406526160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526775 (or 526769 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

The spelling of 134406526160 in words is "one hundred thirty-four billion, four hundred six million, five hundred twenty-six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 3209 6418 12836 16045 25672 32090 51344 64180 128360 256720 523553 1047106 2094212 2617765 4188424 5235530 8376848 10471060 20942120 41884240 1680081577 3360163154 6720326308 8400407885 13440652616 16800815770 26881305232 33601631540 67203263080 134406526160