113353152 has 112 divisors (see below), whose sum is σ = 330061824. Its totient is φ = 34048000.

The previous prime is 113353147. The next prime is 113353153. The reversal of 113353152 is 251353311.

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 (113353153) 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, 403252 + ... + 403532.

Almost surely, 2^113353152 is an apocalyptic number.

113353152 is a gapful number since it is divisible by the number (12) 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 113353152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165030912).

113353152 is an abundant number, since it is smaller than the sum of its proper divisors (216708672).

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

113353152 is a wasteful number, since it uses less digits than its factorization.

113353152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 488 counting only the distinct ones).

The product of its digits is 1350, while the sum is 24.

The square root of 113353152 is about 10646.7437275441. The cubic root of 113353152 is about 483.9619303891.

It can be divided in two parts, 1133 and 53152, that added together give a triangular number (54285 = T₃₂₉).

The spelling of 113353152 in words is "one hundred thirteen million, three hundred fifty-three thousand, one hundred fifty-two".