113145732900 has 108 divisors (see below), whose sum is σ = 367784241552. Its totient is φ = 30172188960.

The previous prime is 113145732871. The next prime is 113145732901. The reversal of 113145732900 is 9237541311.

113145732900 is a `hidden beast` number, since 1 + 1 + 314 + 57 + 3 + 290 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

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

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

It is not an unprimeable number, because it can be changed into a prime (113145732901) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2303802 + ... + 2352401.

It is an arithmetic number, because the mean of its divisors is an integer number (3405409644).

Almost surely, 2^113145732900 is an apocalyptic number.

113145732900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113145732900 is an abundant number, since it is smaller than the sum of its proper divisors (254638508652).

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

113145732900 is a wasteful number, since it uses less digits than its factorization.

113145732900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4656232 (or 4656213 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 113145732900 in words is "one hundred thirteen billion, one hundred forty-five million, seven hundred thirty-two thousand, nine hundred".