113738625 has 192 divisors, whose sum is σ = 278014464. Its totient is φ = 43200000.

The previous prime is 113738621. The next prime is 113738641. The reversal of 113738625 is 526837311.

It is not a de Polignac number, because 113738625 - 2² = 113738621 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

Its product of digits (30240) is a multiple of the sum of its prime divisors (140).

It is a self number, because there is not a number n which added to its sum of digits gives 113738625.

It is not an unprimeable number, because it can be changed into a prime (113738621) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1126075 + ... + 1126175.

It is an arithmetic number, because the mean of its divisors is an integer number (1447992).

Almost surely, 2^113738625 is an apocalyptic number.

113738625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

113738625 is an abundant number, since it is smaller than the sum of its proper divisors (164275839).

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

113738625 is a wasteful number, since it uses less digits than its factorization.

113738625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 140 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 113738625 is about 10664.8312222932. The cubic root of 113738625 is about 484.5099027648.

The spelling of 113738625 in words is "one hundred thirteen million, seven hundred thirty-eight thousand, six hundred twenty-five".