112136640 has 448 divisors, whose sum is σ = 467002368. Its totient is φ = 22118400.

The previous prime is 112136623. The next prime is 112136657. The reversal of 112136640 is 46631211.

It is an interprime number because it is at equal distance from previous prime (112136623) and next prime (112136657).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 112136640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2735020 + ... + 2735060.

It is an arithmetic number, because the mean of its divisors is an integer number (1042416).

Almost surely, 2^112136640 is an apocalyptic number.

112136640 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 112136640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233501184).

112136640 is an abundant number, since it is smaller than the sum of its proper divisors (354865728).

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

112136640 is a wasteful number, since it uses less digits than its factorization.

112136640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 112136640 is about 10589.4589096894. The cubic root of 112136640 is about 482.2243980764.

Adding to 112136640 its reverse (46631211), we get a palindrome (158767851).

The spelling of 112136640 in words is "one hundred twelve million, one hundred thirty-six thousand, six hundred forty".