113937753600 has 1920 divisors, whose sum is σ = 506352591360. Its totient is φ = 24772608000.

The previous prime is 113937753599. The next prime is 113937753607. The reversal of 113937753600 is 6357739311.

113937753600 is a `hidden beast` number, since 1 + 1 + 3 + 9 + 37 + 7 + 5 + 3 + 600 = 666.

113937753600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113937753607) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 2649715179 + ... + 2649715221.

It is an arithmetic number, because the mean of its divisors is an integer number (263725308).

Almost surely, 2^113937753600 is an apocalyptic number.

113937753600 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 113937753600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253176295680).

113937753600 is an abundant number, since it is smaller than the sum of its proper divisors (392414837760).

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

113937753600 is a wasteful number, since it uses less digits than its factorization.

113937753600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 357210, while the sum is 45.

The spelling of 113937753600 in words is "one hundred thirteen billion, nine hundred thirty-seven million, seven hundred fifty-three thousand, six hundred".