113142758400 has 1188 divisors, whose sum is σ = 484946516496. Its totient is φ = 24684134400.

The previous prime is 113142758297. The next prime is 113142758447. The reversal of 113142758400 is 4857241311.

113142758400 is a `hidden beast` number, since 1 + 1 + 31 + 42 + 7 + 584 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1549900764 + ... + 1549900836.

Almost surely, 2^113142758400 is an apocalyptic number.

113142758400 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 113142758400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242473258248).

113142758400 is an abundant number, since it is smaller than the sum of its proper divisors (371803758096).

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

113142758400 is a wasteful number, since it uses less digits than its factorization.

113142758400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

Adding to 113142758400 its reverse (4857241311), we get a palindrome (117999999711).

The spelling of 113142758400 in words is "one hundred thirteen billion, one hundred forty-two million, seven hundred fifty-eight thousand, four hundred".