112137696 has 336 divisors, whose sum is σ = 396627840. Its totient is φ = 30792960.

The previous prime is 112137671. The next prime is 112137743. The reversal of 112137696 is 696731211.

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

Its product of digits (13608) is a multiple of the sum of its prime factors (81).

It is a self number, because there is not a number n which added to its sum of digits gives 112137696.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4875541 + ... + 4875563.

It is an arithmetic number, because the mean of its divisors is an integer number (1180440).

Almost surely, 2^112137696 is an apocalyptic number.

112137696 is a gapful number since it is divisible by the number (16) 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 112137696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198313920).

112137696 is an abundant number, since it is smaller than the sum of its proper divisors (284490144).

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

112137696 is a wasteful number, since it uses less digits than its factorization.

112137696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 58 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 112137696 is about 10589.5087704766. The cubic root of 112137696 is about 482.2259117873.

The spelling of 112137696 in words is "one hundred twelve million, one hundred thirty-seven thousand, six hundred ninety-six".