112457520 has 240 divisors, whose sum is σ = 440811072. Its totient is φ = 25159680.

The previous prime is 112457509. The next prime is 112457531. The reversal of 112457520 is 25754211.

It is an interprime number because it is at equal distance from previous prime (112457509) and next prime (112457531).

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 266910 + ... + 267330.

Almost surely, 2^112457520 is an apocalyptic number.

112457520 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 112457520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220405536).

112457520 is an abundant number, since it is smaller than the sum of its proper divisors (328353552).

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

112457520 is a wasteful number, since it uses less digits than its factorization.

112457520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 112457520 is about 10604.5990023197. The cubic root of 112457520 is about 482.6839231881.

The spelling of 112457520 in words is "one hundred twelve million, four hundred fifty-seven thousand, five hundred twenty".