113920000 has 120 divisors (see below), whose sum is σ = 287837550. Its totient is φ = 45056000.

The previous prime is 113919959. The next prime is 113920013. The reversal of 113920000 is 29311.

It can be written as a sum of positive squares in 5 ways, for example, as 369664 + 113550336 = 608^2 + 10656^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1279956 + ... + 1280044.

Almost surely, 2^113920000 is an apocalyptic number.

113920000 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 113920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143918775).

113920000 is an abundant number, since it is smaller than the sum of its proper divisors (173917550).

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

113920000 is an frugal number, since it uses more digits than its factorization.

113920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 113920000 is about 10673.3312513011. The cubic root of 113920000 is about 484.7673096424.

Adding to 113920000 its reverse (29311), we get a palindrome (113949311).

The spelling of 113920000 in words is "one hundred thirteen million, nine hundred twenty thousand".