113152464 has 140 divisors (see below), whose sum is σ = 335441700. Its totient is φ = 36951552.

The previous prime is 113152439. The next prime is 113152469. The reversal of 113152464 is 464251311.

It is a happy number.

113152464 is a `hidden beast` number, since 1 + 131 + 524 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 49280400 + 63872064 = 7020^2 + 7992^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113152469) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1038042 + ... + 1038150.

Almost surely, 2^113152464 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 113152464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167720850).

113152464 is an abundant number, since it is smaller than the sum of its proper divisors (222289236).

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

113152464 is an equidigital number, since it uses as much as digits as its factorization.

113152464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 203 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 113152464 is about 10637.3146987386. The cubic root of 113152464 is about 483.6761488127.

The spelling of 113152464 in words is "one hundred thirteen million, one hundred fifty-two thousand, four hundred sixty-four".