111264153 has 96 divisors (see below), whose sum is σ = 208373760. Its totient is φ = 51891840.

The previous prime is 111264149. The next prime is 111264161. The reversal of 111264153 is 351462111.

It is a happy number.

It is not a de Polignac number, because 111264153 - 2² = 111264149 is a prime.

Its product of digits (720) is a multiple of the sum of its prime divisors (180).

It is not an unprimeable number, because it can be changed into a prime (111264253) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1408368 + ... + 1408446.

It is an arithmetic number, because the mean of its divisors is an integer number (2170560).

Almost surely, 2^111264153 is an apocalyptic number.

111264153 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

111264153 is a deficient number, since it is larger than the sum of its proper divisors (97109607).

111264153 is a wasteful number, since it uses less digits than its factorization.

111264153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 180 counting only the distinct ones).

The product of its digits is 720, while the sum is 24.

The square root of 111264153 is about 10548.1824500717. The cubic root of 111264153 is about 480.9704801048.

The spelling of 111264153 in words is "one hundred eleven million, two hundred sixty-four thousand, one hundred fifty-three".