113987520 has 224 divisors, whose sum is σ = 409651200. Its totient is φ = 29832192.

The previous prime is 113987509. The next prime is 113987521. The reversal of 113987520 is 25789311.

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

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113987521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 682477 + ... + 682643.

It is an arithmetic number, because the mean of its divisors is an integer number (1828800).

Almost surely, 2^113987520 is an apocalyptic number.

113987520 is a gapful number since it is divisible by the number (10) 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 113987520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204825600).

113987520 is an abundant number, since it is smaller than the sum of its proper divisors (295663680).

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

113987520 is a wasteful number, since it uses less digits than its factorization.

113987520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 113987520 is about 10676.4938064891. The cubic root of 113987520 is about 484.8630640439.

The spelling of 113987520 in words is "one hundred thirteen million, nine hundred eighty-seven thousand, five hundred twenty".