112131864 has 256 divisors, whose sum is σ = 371952000. Its totient is φ = 31352832.

The previous prime is 112131857. The next prime is 112131883. The reversal of 112131864 is 468131211.

It is a happy number.

It is a super-2 number, since 2×112131864² = 25147109848228992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (1152) is a multiple of the sum of its prime divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3866602 + ... + 3866630.

Almost surely, 2^112131864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112131864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185976000).

112131864 is an abundant number, since it is smaller than the sum of its proper divisors (259820136).

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

112131864 is a wasteful number, since it uses less digits than its factorization.

112131864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 64 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 112131864 is about 10589.2334000153. The cubic root of 112131864 is about 482.2175518561.

The spelling of 112131864 in words is "one hundred twelve million, one hundred thirty-one thousand, eight hundred sixty-four".