113189536 has 96 divisors (see below), whose sum is σ = 254741760. Its totient is φ = 49176576.

The previous prime is 113189533. The next prime is 113189539. The reversal of 113189536 is 635981311.

113189536 = 180³ + 181³ + ... + 196³.

It is an interprime number because it is at equal distance from previous prime (113189533) and next prime (113189539).

It is a junction number, because it is equal to n+sod(n) for n = 113189495 and 113189504.

It is not an unprimeable number, because it can be changed into a prime (113189533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 485676 + ... + 485908.

It is an arithmetic number, because the mean of its divisors is an integer number (2653560).

Almost surely, 2^113189536 is an apocalyptic number.

113189536 is a gapful number since it is divisible by the number (16) 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 113189536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127370880).

113189536 is an abundant number, since it is smaller than the sum of its proper divisors (141552224).

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

113189536 is a wasteful number, since it uses less digits than its factorization.

113189536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 318 counting only the distinct ones).

The product of its digits is 19440, while the sum is 37.

The square root of 113189536 is about 10639.0571010781. The cubic root of 113189536 is about 483.7289651153.

The spelling of 113189536 in words is "one hundred thirteen million, one hundred eighty-nine thousand, five hundred thirty-six".