113534523015200 has 144 divisors (see below), whose sum is σ = 316794509728704. Its totient is φ = 38922043468800.

The previous prime is 113534523015181. The next prime is 113534523015259. The reversal of 113534523015200 is 2510325435311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52629830 + ... + 54744570.

It is an arithmetic number, because the mean of its divisors is an integer number (2199961873116).

Almost surely, 2^{113534523015200} is an apocalyptic number.

113534523015200 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 113534523015200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158397254864352).

113534523015200 is an abundant number, since it is smaller than the sum of its proper divisors (203259986713504).

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

113534523015200 is a wasteful number, since it uses less digits than its factorization.

113534523015200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2124355 (or 2124342 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 35.

The spelling of 113534523015200 in words is "one hundred thirteen trillion, five hundred thirty-four billion, five hundred twenty-three million, fifteen thousand, two hundred".