113760000 has 270 divisors, whose sum is σ = 415054640. Its totient is φ = 29952000.

The previous prime is 113759993. The next prime is 113760029. The reversal of 113760000 is 67311.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1439961 + ... + 1440039.

Almost surely, 2^113760000 is an apocalyptic number.

113760000 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 113760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207527320).

113760000 is an abundant number, since it is smaller than the sum of its proper divisors (301294640).

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

113760000 is an frugal number, since it uses more digits than its factorization.

113760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 113760000 is about 10665.8333007787. The cubic root of 113760000 is about 484.5402523213.

The spelling of 113760000 in words is "one hundred thirteen million, seven hundred sixty thousand".