113512400 has 60 divisors (see below), whose sum is σ = 288772812. Its totient is φ = 42731520.

The previous prime is 113512397. The next prime is 113512433. The reversal of 113512400 is 4215311.

It can be written as a sum of positive squares in 6 ways, for example, as 6927424 + 106584976 = 2632^2 + 10324^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1547 + ... + 15146.

Almost surely, 2^113512400 is an apocalyptic number.

113512400 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 113512400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144386406).

113512400 is an abundant number, since it is smaller than the sum of its proper divisors (175260412).

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

113512400 is a wasteful number, since it uses less digits than its factorization.

113512400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16728 (or 16717 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 113512400 is about 10654.2198212727. The cubic root of 113512400 is about 484.1884610878.

Adding to 113512400 its reverse (4215311), we get a palindrome (117727711).

The spelling of 113512400 in words is "one hundred thirteen million, five hundred twelve thousand, four hundred".