113602752 has 84 divisors (see below), whose sum is σ = 327848976. Its totient is φ = 37608960.

The previous prime is 113602747. The next prime is 113602757. The reversal of 113602752 is 257206311.

It is a happy number.

113602752 is a `hidden beast` number, since 1 + 1 + 3 + 602 + 7 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (113602747) and next prime (113602757).

It is not an unprimeable number, because it can be changed into a prime (113602757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95602 + ... + 96782.

It is an arithmetic number, because the mean of its divisors is an integer number (3902964).

Almost surely, 2^113602752 is an apocalyptic number.

113602752 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 113602752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163924488).

113602752 is an abundant number, since it is smaller than the sum of its proper divisors (214246224).

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

113602752 is a wasteful number, since it uses less digits than its factorization.

113602752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 113602752 is about 10658.4591756970. The cubic root of 113602752 is about 484.3168928534.

The spelling of 113602752 in words is "one hundred thirteen million, six hundred two thousand, seven hundred fifty-two".