113736400 has 30 divisors (see below), whose sum is σ = 273252662. Its totient is φ = 45494400.

The previous prime is 113736397. The next prime is 113736407. The reversal of 113736400 is 4637311.

It can be written as a sum of positive squares in 3 ways, for example, as 2729104 + 111007296 = 1652^2 + 10536^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113736407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 141771 + ... + 142570.

Almost surely, 2^113736400 is an apocalyptic number.

113736400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113736400 is an abundant number, since it is smaller than the sum of its proper divisors (159516262).

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

113736400 is a wasteful number, since it uses less digits than its factorization.

113736400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284359 (or 284348 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 113736400 is about 10664.7269069583. The cubic root of 113736400 is about 484.5067433527.

The spelling of 113736400 in words is "one hundred thirteen million, seven hundred thirty-six thousand, four hundred".