112138185600 has 864 divisors, whose sum is σ = 468842704200. Its totient is φ = 25446113280.

The previous prime is 112138185589. The next prime is 112138185629. The reversal of 112138185600 is 6581831211.

112138185600 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 38 + 18 + 5 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 323164627 + ... + 323164973.

Almost surely, 2^112138185600 is an apocalyptic number.

112138185600 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 112138185600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234421352100).

112138185600 is an abundant number, since it is smaller than the sum of its proper divisors (356704518600).

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

112138185600 is a wasteful number, since it uses less digits than its factorization.

112138185600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 112138185600 in words is "one hundred twelve billion, one hundred thirty-eight million, one hundred eighty-five thousand, six hundred".