113751101952 has 400 divisors, whose sum is σ = 350185077792. Its totient is φ = 36740874240.

The previous prime is 113751101911. The next prime is 113751101999. The reversal of 113751101952 is 259101157311.

113751101952 is a `hidden beast` number, since 1 + 137 + 511 + 0 + 1 + 9 + 5 + 2 = 666.

113751101952 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 404808052 + ... + 404808332.

Almost surely, 2^113751101952 is an apocalyptic number.

113751101952 is a gapful number since it is divisible by the number (12) 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 113751101952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175092538896).

113751101952 is an abundant number, since it is smaller than the sum of its proper divisors (236433975840).

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

113751101952 is an equidigital number, since it uses as much as digits as its factorization.

113751101952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 36.

The spelling of 113751101952 in words is "one hundred thirteen billion, seven hundred fifty-one million, one hundred one thousand, nine hundred fifty-two".