113553888 has 96 divisors (see below), whose sum is σ = 349945344. Its totient is φ = 31560192.

The previous prime is 113553883. The next prime is 113553901. The reversal of 113553888 is 888355311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113553883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22581 + ... + 27147.

It is an arithmetic number, because the mean of its divisors is an integer number (3645264).

Almost surely, 2^113553888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113553888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174972672).

113553888 is an abundant number, since it is smaller than the sum of its proper divisors (236391456).

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

113553888 is a wasteful number, since it uses less digits than its factorization.

113553888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4624 (or 4616 counting only the distinct ones).

The product of its digits is 115200, while the sum is 42.

The square root of 113553888 is about 10656.1666653633. The cubic root of 113553888 is about 484.2474430846.

The spelling of 113553888 in words is "one hundred thirteen million, five hundred fifty-three thousand, eight hundred eighty-eight".