113754100800 has 336 divisors, whose sum is σ = 391871972160. Its totient is φ = 28848906240.

The previous prime is 113754100739. The next prime is 113754100871. The reversal of 113754100800 is 8001457311.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9320302 + ... + 9332498.

Almost surely, 2^113754100800 is an apocalyptic number.

113754100800 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 113754100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195935986080).

113754100800 is an abundant number, since it is smaller than the sum of its proper divisors (278117871360).

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

113754100800 is a wasteful number, since it uses less digits than its factorization.

113754100800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12318 (or 12303 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The spelling of 113754100800 in words is "one hundred thirteen billion, seven hundred fifty-four million, one hundred thousand, eight hundred".