113837760 has 252 divisors, whose sum is σ = 414150048. Its totient is φ = 28686336.

The previous prime is 113837753. The next prime is 113837767. The reversal of 113837760 is 67738311.

It is an interprime number because it is at equal distance from previous prime (113837753) and next prime (113837767).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (113837767) 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, 2422057 + ... + 2422103.

Almost surely, 2^113837760 is an apocalyptic number.

113837760 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 113837760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207075024).

113837760 is an abundant number, since it is smaller than the sum of its proper divisors (300312288).

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

113837760 is a wasteful number, since it uses less digits than its factorization.

113837760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 113837760 is about 10669.4779628621. The cubic root of 113837760 is about 484.6506287525.

The spelling of 113837760 in words is "one hundred thirteen million, eight hundred thirty-seven thousand, seven hundred sixty".