113505144 has 64 divisors (see below), whose sum is σ = 292896000. Its totient is φ = 36637440.

The previous prime is 113505137. The next prime is 113505149. The reversal of 113505144 is 441505311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113505149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99972 + ... + 101100.

It is an arithmetic number, because the mean of its divisors is an integer number (4576500).

Almost surely, 2^113505144 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 113505144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146448000).

113505144 is an abundant number, since it is smaller than the sum of its proper divisors (179390856).

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

113505144 is a wasteful number, since it uses less digits than its factorization.

113505144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 113505144 is about 10653.8792934780. The cubic root of 113505144 is about 484.1781440172.

The spelling of 113505144 in words is "one hundred thirteen million, five hundred five thousand, one hundred forty-four".