112149504 has 132 divisors (see below), whose sum is σ = 332531056. Its totient is φ = 36384768.

The previous prime is 112149503. The next prime is 112149551. The reversal of 112149504 is 405941211.

112149504 is a `hidden beast` number, since 1 + 12 + 149 + 504 = 666.

It is a super-2 number, since 2×112149504² = 25155022494892032, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112149503) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 396147 + ... + 396429.

Almost surely, 2^112149504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112149504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166265528).

112149504 is an abundant number, since it is smaller than the sum of its proper divisors (220381552).

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

112149504 is a wasteful number, since it uses less digits than its factorization.

112149504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 112149504 is about 10590.0662887444. The cubic root of 112149504 is about 482.2428371803.

It can be divided in two parts, 1121 and 49504, that added together give a 4-th power (50625 = 15⁴).

The spelling of 112149504 in words is "one hundred twelve million, one hundred forty-nine thousand, five hundred four".