113675315734200 has 384 divisors, whose sum is σ = 388409868748800. Its totient is φ = 27273763776000.

The previous prime is 113675315734147. The next prime is 113675315734207. The reversal of 113675315734200 is 2437513576311.

It is a self number, because there is not a number n which added to its sum of digits gives 113675315734200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113675315734207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 249047389 + ... + 249503411.

It is an arithmetic number, because the mean of its divisors is an integer number (1011484033200).

Almost surely, 2^{113675315734200} is an apocalyptic number.

113675315734200 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 113675315734200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194204934374400).

113675315734200 is an abundant number, since it is smaller than the sum of its proper divisors (274734553014600).

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

113675315734200 is a wasteful number, since it uses less digits than its factorization.

113675315734200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456443 (or 456434 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 48.

The spelling of 113675315734200 in words is "one hundred thirteen trillion, six hundred seventy-five billion, three hundred fifteen million, seven hundred thirty-four thousand, two hundred".