113554400 has 72 divisors (see below), whose sum is σ = 283747464. Its totient is φ = 44352000.

The previous prime is 113554387. The next prime is 113554411. The reversal of 113554400 is 4455311.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32750 + ... + 36050.

It is an arithmetic number, because the mean of its divisors is an integer number (3940937).

Almost surely, 2^113554400 is an apocalyptic number.

113554400 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 113554400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141873732).

113554400 is an abundant number, since it is smaller than the sum of its proper divisors (170193064).

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

113554400 is a wasteful number, since it uses less digits than its factorization.

113554400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3364 (or 3351 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 113554400 is about 10656.1906889845. The cubic root of 113554400 is about 484.2481708868.

The spelling of 113554400 in words is "one hundred thirteen million, five hundred fifty-four thousand, four hundred".