113149742400 has 1512 divisors, whose sum is σ = 475148026080. Its totient is φ = 26396098560.

The previous prime is 113149742389. The next prime is 113149742429. The reversal of 113149742400 is 4247941311.

113149742400 is a `hidden beast` number, since 11 + 314 + 97 + 4 + 240 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2134900774 + ... + 2134900826.

It is an arithmetic number, because the mean of its divisors is an integer number (314251340).

Almost surely, 2^113149742400 is an apocalyptic number.

113149742400 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 113149742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237574013040).

113149742400 is an abundant number, since it is smaller than the sum of its proper divisors (361998283680).

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

113149742400 is a wasteful number, since it uses less digits than its factorization.

113149742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 113149742400 in words is "one hundred thirteen billion, one hundred forty-nine million, seven hundred forty-two thousand, four hundred".