113145429600 has 648 divisors, whose sum is σ = 470759588208. Its totient is φ = 25491916800.

The previous prime is 113145429599. The next prime is 113145429613. The reversal of 113145429600 is 6924541311.

It is a happy number.

113145429600 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 4 + 5 + 42 + 9 + 600 = 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, 25046542 + ... + 25051058.

It is an arithmetic number, because the mean of its divisors is an integer number (726480846).

Almost surely, 2^113145429600 is an apocalyptic number.

113145429600 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 113145429600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235379794104).

113145429600 is an abundant number, since it is smaller than the sum of its proper divisors (357614158608).

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

113145429600 is a wasteful number, since it uses less digits than its factorization.

113145429600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4628 (or 4605 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 113145429600 in words is "one hundred thirteen billion, one hundred forty-five million, four hundred twenty-nine thousand, six hundred".