113766400 has 156 divisors (see below), whose sum is σ = 310799304. Its totient is φ = 40960000.

The previous prime is 113766371. The next prime is 113766407. The reversal of 113766400 is 4667311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113766407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1126350 + ... + 1126450.

Almost surely, 2^113766400 is an apocalyptic number.

113766400 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 113766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155399652).

113766400 is an abundant number, since it is smaller than the sum of its proper divisors (197032904).

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

113766400 is a wasteful number, since it uses less digits than its factorization.

113766400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 113766400 is about 10666.1333199993. The cubic root of 113766400 is about 484.5493387004.

The spelling of 113766400 in words is "one hundred thirteen million, seven hundred sixty-six thousand, four hundred".