113537970 has 128 divisors (see below), whose sum is σ = 372718080. Its totient is φ = 23950080.

The previous prime is 113537953. The next prime is 113537981. The reversal of 113537970 is 79735311.

113537970 is a `hidden beast` number, since 113 + 537 + 9 + 7 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22260 + ... + 26880.

It is an arithmetic number, because the mean of its divisors is an integer number (2911860).

Almost surely, 2^113537970 is an apocalyptic number.

113537970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113537970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186359040).

113537970 is an abundant number, since it is smaller than the sum of its proper divisors (259180110).

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

113537970 is a wasteful number, since it uses less digits than its factorization.

113537970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4657 (or 4651 counting only the distinct ones).

The product of its (nonzero) digits is 19845, while the sum is 36.

The square root of 113537970 is about 10655.4197477152. The cubic root of 113537970 is about 484.2248147356.

The spelling of 113537970 in words is "one hundred thirteen million, five hundred thirty-seven thousand, nine hundred seventy".