113576000 has 56 divisors (see below), whose sum is σ = 281290776. Its totient is φ = 45427200.

The previous prime is 113575981. The next prime is 113576041. The reversal of 113576000 is 675311.

It can be written as a sum of positive squares in 4 ways, for example, as 1893376 + 111682624 = 1376^2 + 10568^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 902 + ... + 15098.

Almost surely, 2^113576000 is an apocalyptic number.

113576000 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 113576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140645388).

113576000 is an abundant number, since it is smaller than the sum of its proper divisors (167714776).

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

113576000 is an equidigital number, since it uses as much as digits as its factorization.

113576000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14224 (or 14204 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 23.

The square root of 113576000 is about 10657.2041361700. The cubic root of 113576000 is about 484.2788730506.

The spelling of 113576000 in words is "one hundred thirteen million, five hundred seventy-six thousand".