113975680 has 256 divisors, whose sum is σ = 356428800. Its totient is φ = 33841152.

The previous prime is 113975677. The next prime is 113975689. The reversal of 113975680 is 86579311.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113975689) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1106509 + ... + 1106611.

It is an arithmetic number, because the mean of its divisors is an integer number (1392300).

Almost surely, 2^113975680 is an apocalyptic number.

113975680 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 113975680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178214400).

113975680 is an abundant number, since it is smaller than the sum of its proper divisors (242453120).

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

113975680 is a wasteful number, since it uses less digits than its factorization.

113975680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 40.

The square root of 113975680 is about 10675.9393029372. The cubic root of 113975680 is about 484.8462757223.

The spelling of 113975680 in words is "one hundred thirteen million, nine hundred seventy-five thousand, six hundred eighty".