113074000 has 80 divisors (see below), whose sum is σ = 294512400. Its totient is φ = 41740800.

The previous prime is 113073979. The next prime is 113074001. The reversal of 113074000 is 470311.

It can be written as a sum of positive squares in 8 ways, for example, as 91470096 + 21603904 = 9564^2 + 4648^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113074001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23826 + ... + 28174.

It is an arithmetic number, because the mean of its divisors is an integer number (3681405).

Almost surely, 2^113074000 is an apocalyptic number.

113074000 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 113074000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147256200).

113074000 is an abundant number, since it is smaller than the sum of its proper divisors (181438400).

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

113074000 is a wasteful number, since it uses less digits than its factorization.

113074000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4385 (or 4369 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 113074000 is about 10633.6259102904. The cubic root of 113074000 is about 483.5643234648.

The spelling of 113074000 in words is "one hundred thirteen million, seventy-four thousand".