112735152 has 100 divisors (see below), whose sum is σ = 335249376. Its totient is φ = 36547200.

The previous prime is 112735099. The next prime is 112735157. The reversal of 112735152 is 251537211.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (112735157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 46777 + ... + 49127.

Almost surely, 2^112735152 is an apocalyptic number.

112735152 is a gapful number since it is divisible by the number (12) 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 112735152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167624688).

112735152 is an abundant number, since it is smaller than the sum of its proper divisors (222514224).

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

112735152 is a wasteful number, since it uses less digits than its factorization.

112735152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2408 (or 2393 counting only the distinct ones).

The product of its digits is 2100, while the sum is 27.

The square root of 112735152 is about 10617.6811027644. The cubic root of 112735152 is about 483.0808089785.

The spelling of 112735152 in words is "one hundred twelve million, seven hundred thirty-five thousand, one hundred fifty-two".