113280000 has 220 divisors, whose sum is σ = 383689680. Its totient is φ = 29696000.

The previous prime is 113279987. The next prime is 113280029. The reversal of 113280000 is 82311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1919971 + ... + 1920029.

It is an arithmetic number, because the mean of its divisors is an integer number (1744044).

Almost surely, 2^113280000 is an apocalyptic number.

113280000 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 113280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191844840).

113280000 is an abundant number, since it is smaller than the sum of its proper divisors (270409680).

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

113280000 is an frugal number, since it uses more digits than its factorization.

113280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 113280000 is about 10643.3077565201. The cubic root of 113280000 is about 483.8578003585.

The spelling of 113280000 in words is "one hundred thirteen million, two hundred eighty thousand".