113768160 has 192 divisors, whose sum is σ = 404974080. Its totient is φ = 26593280.

The previous prime is 113768041. The next prime is 113768173. The reversal of 113768160 is 61867311.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152749 + ... + 153491.

It is an arithmetic number, because the mean of its divisors is an integer number (2109240).

Almost surely, 2^113768160 is an apocalyptic number.

113768160 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 113768160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202487040).

113768160 is an abundant number, since it is smaller than the sum of its proper divisors (291205920).

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

113768160 is a wasteful number, since it uses less digits than its factorization.

113768160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 113768160 is about 10666.2158238056. The cubic root of 113768160 is about 484.5518373949.

The spelling of 113768160 in words is "one hundred thirteen million, seven hundred sixty-eight thousand, one hundred sixty".