113150400 has 168 divisors, whose sum is σ = 405164544. Its totient is φ = 27417600.

The previous prime is 113150399. The next prime is 113150413. The reversal of 113150400 is 4051311.

It is a super-3 number, since 3×113150400³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 113150400.

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 23 ways as a sum of consecutive naturals, for example, 51729 + ... + 53871.

Almost surely, 2^113150400 is an apocalyptic number.

113150400 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 113150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202582272).

113150400 is an abundant number, since it is smaller than the sum of its proper divisors (292014144).

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

113150400 is a wasteful number, since it uses less digits than its factorization.

113150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2179 (or 2164 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 113150400 is about 10637.2176813300. The cubic root of 113150400 is about 483.6732079027.

The spelling of 113150400 in words is "one hundred thirteen million, one hundred fifty thousand, four hundred".