113025959136 has 144 divisors (see below), whose sum is σ = 327041599248. Its totient is φ = 37017446400.

The previous prime is 113025959131. The next prime is 113025959141. The reversal of 113025959136 is 631959520311.

113025959136 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 2 + 59 + 591 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (113025959131) and next prime (113025959141).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×113025959136² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 113025959091 and 113025959100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113025959131) 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 23 ways as a sum of consecutive naturals, for example, 19163740 + ... + 19169636.

It is an arithmetic number, because the mean of its divisors is an integer number (2271122217).

Almost surely, 2^113025959136 is an apocalyptic number.

113025959136 is a gapful number since it is divisible by the number (16) 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 113025959136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163520799624).

113025959136 is an abundant number, since it is smaller than the sum of its proper divisors (214015640112).

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

113025959136 is a wasteful number, since it uses less digits than its factorization.

113025959136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7065 (or 7054 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 45.

The spelling of 113025959136 in words is "one hundred thirteen billion, twenty-five million, nine hundred fifty-nine thousand, one hundred thirty-six".