113857252600 has 576 divisors, whose sum is σ = 346537820160. Its totient is φ = 34444569600.

The previous prime is 113857252549. The next prime is 113857252643. The reversal of 113857252600 is 6252758311.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 501573687 + ... + 501573913.

It is an arithmetic number, because the mean of its divisors is an integer number (601628160).

Almost surely, 2^113857252600 is an apocalyptic number.

113857252600 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 113857252600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173268910080).

113857252600 is an abundant number, since it is smaller than the sum of its proper divisors (232680567560).

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

113857252600 is a wasteful number, since it uses less digits than its factorization.

113857252600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

The spelling of 113857252600 in words is "one hundred thirteen billion, eight hundred fifty-seven million, two hundred fifty-two thousand, six hundred".