112525920 has 144 divisors (see below), whose sum is σ = 413601552. Its totient is φ = 27694080.

The previous prime is 112525891. The next prime is 112525927. The reversal of 112525920 is 29525211.

112525920 is a `hidden beast` number, since 112 + 525 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112525927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15715 + ... + 21725.

It is an arithmetic number, because the mean of its divisors is an integer number (2872233).

Almost surely, 2^112525920 is an apocalyptic number.

112525920 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 112525920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206800776).

112525920 is an abundant number, since it is smaller than the sum of its proper divisors (301075632).

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

112525920 is a wasteful number, since it uses less digits than its factorization.

112525920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6045 (or 6034 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 112525920 is about 10607.8235279439. The cubic root of 112525920 is about 482.7817642482.

It can be divided in two parts, 1125 and 25920, that multiplied together give a square (29160000 = 5400²).

The spelling of 112525920 in words is "one hundred twelve million, five hundred twenty-five thousand, nine hundred twenty".