113750208000 has 960 divisors, whose sum is σ = 481682545344. Its totient is φ = 25436160000.

The previous prime is 113750207947. The next prime is 113750208067. The reversal of 113750208000 is 802057311.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82367310 + ... + 82368690.

Almost surely, 2^113750208000 is an apocalyptic number.

113750208000 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 113750208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240841272672).

113750208000 is an abundant number, since it is smaller than the sum of its proper divisors (367932337344).

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

113750208000 is a wasteful number, since it uses less digits than its factorization.

113750208000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444 (or 1415 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 113750208000 in words is "one hundred thirteen billion, seven hundred fifty million, two hundred eight thousand".