113732640 has 192 divisors, whose sum is σ = 455051520. Its totient is φ = 25989120.

The previous prime is 113732629. The next prime is 113732653. The reversal of 113732640 is 46237311.

113732640 is a `hidden beast` number, since 1 + 13 + 7 + 3 + 2 + 640 = 666.

It is a super-2 number, since 2×113732640² = 25870226802739200, which contains 22 as substring.

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

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, 28360 + ... + 32120.

It is an arithmetic number, because the mean of its divisors is an integer number (2370060).

Almost surely, 2^113732640 is an apocalyptic number.

113732640 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 113732640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227525760).

113732640 is an abundant number, since it is smaller than the sum of its proper divisors (341318880).

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

113732640 is a wasteful number, since it uses less digits than its factorization.

113732640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3792 (or 3778 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 113732640 is about 10664.5506234440. The cubic root of 113732640 is about 484.5014042076.

Adding to 113732640 its reverse (46237311), we get a palindrome (159969951).

The spelling of 113732640 in words is "one hundred thirteen million, seven hundred thirty-two thousand, six hundred forty".