113871400 has 72 divisors (see below), whose sum is σ = 274600170. Its totient is φ = 43912960.

The previous prime is 113871383. The next prime is 113871419. The reversal of 113871400 is 4178311.

It can be written as a sum of positive squares in 9 ways, for example, as 39463524 + 74407876 = 6282^2 + 8626^2 .

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

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 167862 + ... + 168538.

Almost surely, 2^113871400 is an apocalyptic number.

113871400 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 113871400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137300085).

113871400 is an abundant number, since it is smaller than the sum of its proper divisors (160728770).

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

113871400 is a wasteful number, since it uses less digits than its factorization.

113871400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 113871400 is about 10671.0543059250. The cubic root of 113871400 is about 484.6983634745.

The spelling of 113871400 in words is "one hundred thirteen million, eight hundred seventy-one thousand, four hundred".