113153120 has 48 divisors (see below), whose sum is σ = 268440480. Its totient is φ = 45072384.

The previous prime is 113153107. The next prime is 113153143. The reversal of 113153120 is 21351311.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 40736 + ... + 43424.

It is an arithmetic number, because the mean of its divisors is an integer number (5592510).

Almost surely, 2^113153120 is an apocalyptic number.

113153120 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 113153120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134220240).

113153120 is an abundant number, since it is smaller than the sum of its proper divisors (155287360).

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

113153120 is a wasteful number, since it uses less digits than its factorization.

113153120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2967 (or 2959 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 17.

The square root of 113153120 is about 10637.3455335436. The cubic root of 113153120 is about 483.6770835130.

The spelling of 113153120 in words is "one hundred thirteen million, one hundred fifty-three thousand, one hundred twenty".