113977920 has 168 divisors, whose sum is σ = 421136064. Its totient is φ = 26041344.

The previous prime is 113977891. The next prime is 113977957. The reversal of 113977920 is 29779311.

It is a tau number, because it is divible by the number of its divisors (168).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 45829 + ... + 48251.

Almost surely, 2^113977920 is an apocalyptic number.

113977920 is a gapful number since it is divisible by the number (10) 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 113977920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210568032).

113977920 is an abundant number, since it is smaller than the sum of its proper divisors (307158144).

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

113977920 is a wasteful number, since it uses less digits than its factorization.

113977920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2457 (or 2440 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 39.

The square root of 113977920 is about 10676.0442112236. The cubic root of 113977920 is about 484.8494519804.

The spelling of 113977920 in words is "one hundred thirteen million, nine hundred seventy-seven thousand, nine hundred twenty".