113553792 has 256 divisors, whose sum is σ = 381888000. Its totient is φ = 32901120.

The previous prime is 113553773. The next prime is 113553793. The reversal of 113553792 is 297355311.

113553792 is a `hidden beast` number, since 1 + 1 + 35 + 537 + 92 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113553793) 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, 1102413 + ... + 1102515.

It is an arithmetic number, because the mean of its divisors is an integer number (1491750).

Almost surely, 2^113553792 is an apocalyptic number.

113553792 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 113553792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190944000).

113553792 is an abundant number, since it is smaller than the sum of its proper divisors (268334208).

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

113553792 is a wasteful number, since it uses less digits than its factorization.

113553792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 148 counting only the distinct ones).

The product of its digits is 28350, while the sum is 36.

The square root of 113553792 is about 10656.1621609283. The cubic root of 113553792 is about 484.2473066214.

The spelling of 113553792 in words is "one hundred thirteen million, five hundred fifty-three thousand, seven hundred ninety-two".