113738760 has 96 divisors (see below), whose sum is σ = 371793240. Its totient is φ = 30154752.

The previous prime is 113738759. The next prime is 113738761. The reversal of 113738760 is 67837311.

It is an interprime number because it is at equal distance from previous prime (113738759) and next prime (113738761).

It can be written as a sum of positive squares in 4 ways, for example, as 43480836 + 70257924 = 6594^2 + 8382^2 .

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 (113738761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68662 + ... + 70298.

Almost surely, 2^113738760 is an apocalyptic number.

113738760 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 113738760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185896620).

113738760 is an abundant number, since it is smaller than the sum of its proper divisors (258054480).

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

113738760 is a wasteful number, since it uses less digits than its factorization.

113738760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1847 (or 1840 counting only the distinct ones).

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

The square root of 113738760 is about 10664.8375515054. The cubic root of 113738760 is about 484.5100944582.

The spelling of 113738760 in words is "one hundred thirteen million, seven hundred thirty-eight thousand, seven hundred sixty".