112536000 has 224 divisors, whose sum is σ = 413674560. Its totient is φ = 29952000.

The previous prime is 112535999. The next prime is 112536007. The reversal of 112536000 is 635211.

112536000 is a `hidden beast` number, since 1 + 12 + 53 + 600 + 0 = 666.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112536007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215740 + ... + 216260.

Almost surely, 2^112536000 is an apocalyptic number.

112536000 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 112536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206837280).

112536000 is an abundant number, since it is smaller than the sum of its proper divisors (301138560).

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

112536000 is an equidigital number, since it uses as much as digits as its factorization.

112536000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 112536000 is about 10608.2986383303. The cubic root of 112536000 is about 482.7961795784.

The spelling of 112536000 in words is "one hundred twelve million, five hundred thirty-six thousand".