112537920 has 112 divisors (see below), whose sum is σ = 389827008. Its totient is φ = 27279360.

The previous prime is 112537913. The next prime is 112537991. The reversal of 112537920 is 29735211.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 5232 + ... + 15888.

Almost surely, 2^112537920 is an apocalyptic number.

112537920 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 112537920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194913504).

112537920 is an abundant number, since it is smaller than the sum of its proper divisors (277289088).

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

112537920 is a wasteful number, since it uses less digits than its factorization.

112537920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10688 (or 10678 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 112537920 is about 10608.3891331342. The cubic root of 112537920 is about 482.7989252580.

The spelling of 112537920 in words is "one hundred twelve million, five hundred thirty-seven thousand, nine hundred twenty".