113978000 has 40 divisors (see below), whose sum is σ = 275603640. Its totient is φ = 45590400.

The previous prime is 113977999. The next prime is 113978003. The reversal of 113978000 is 879311.

It can be written as a sum of positive squares in 4 ways, for example, as 1024 + 113976976 = 32^2 + 10676^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (113978003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26495 + ... + 30494.

It is an arithmetic number, because the mean of its divisors is an integer number (6890091).

Almost surely, 2^113978000 is an apocalyptic number.

113978000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113978000 is an abundant number, since it is smaller than the sum of its proper divisors (161625640).

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

113978000 is an equidigital number, since it uses as much as digits as its factorization.

113978000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57012 (or 56996 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 29.

The square root of 113978000 is about 10676.0479579290. The cubic root of 113978000 is about 484.8495654174.

The spelling of 113978000 in words is "one hundred thirteen million, nine hundred seventy-eight thousand".