113377968 has 180 divisors, whose sum is σ = 363186824. Its totient is φ = 34214400.

The previous prime is 113377967. The next prime is 113377969. The reversal of 113377968 is 869773311.

It is an interprime number because it is at equal distance from previous prime (113377967) and next prime (113377969).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113377961) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 470328 + ... + 470568.

Almost surely, 2^113377968 is an apocalyptic number.

113377968 is a gapful number since it is divisible by the number (18) 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 113377968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181593412).

113377968 is an abundant number, since it is smaller than the sum of its proper divisors (249808856).

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

113377968 is a wasteful number, since it uses less digits than its factorization.

113377968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 257 counting only the distinct ones).

The product of its digits is 190512, while the sum is 45.

The square root of 113377968 is about 10647.9090905210. The cubic root of 113377968 is about 483.9972451634.

The spelling of 113377968 in words is "one hundred thirteen million, three hundred seventy-seven thousand, nine hundred sixty-eight".