113409000 has 96 divisors (see below), whose sum is σ = 383352840. Its totient is φ = 30240000.

The previous prime is 113408983. The next prime is 113409013. The reversal of 113409000 is 904311.

It can be written as a sum of positive squares in 4 ways, for example, as 25462116 + 87946884 = 5046^2 + 9378^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2700 + ... + 15300.

Almost surely, 2^113409000 is an apocalyptic number.

113409000 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 113409000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191676420).

113409000 is an abundant number, since it is smaller than the sum of its proper divisors (269943840).

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

113409000 is a wasteful number, since it uses less digits than its factorization.

113409000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12628 (or 12611 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 113409000 is about 10649.3661783225. The cubic root of 113409000 is about 484.0413984579.

The spelling of 113409000 in words is "one hundred thirteen million, four hundred nine thousand".