113780160 has 224 divisors, whose sum is σ = 432694080. Its totient is φ = 27979776.

The previous prime is 113780159. The next prime is 113780179. The reversal of 113780160 is 61087311.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 111814 + ... + 112826.

It is an arithmetic number, because the mean of its divisors is an integer number (1931670).

Almost surely, 2^113780160 is an apocalyptic number.

113780160 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 113780160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216347040).

113780160 is an abundant number, since it is smaller than the sum of its proper divisors (318913920).

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

113780160 is a wasteful number, since it uses less digits than its factorization.

113780160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 113780160 is about 10666.7783327488. The cubic root of 113780160 is about 484.5688732616.

The spelling of 113780160 in words is "one hundred thirteen million, seven hundred eighty thousand, one hundred sixty".