113153680 has 40 divisors (see below), whose sum is σ = 265431672. Its totient is φ = 44857344.

The previous prime is 113153671. The next prime is 113153707. The reversal of 113153680 is 86351311.

It can be written as a sum of positive squares in 4 ways, for example, as 7639696 + 105513984 = 2764^2 + 10272^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2782 + ... + 15298.

Almost surely, 2^113153680 is an apocalyptic number.

113153680 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 113153680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132715836).

113153680 is an abundant number, since it is smaller than the sum of its proper divisors (152277992).

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

113153680 is a wasteful number, since it uses less digits than its factorization.

113153680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12643 (or 12637 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 113153680 is about 10637.3718558674. The cubic root of 113153680 is about 483.6778814251.

The spelling of 113153680 in words is "one hundred thirteen million, one hundred fifty-three thousand, six hundred eighty".