113575077000 has 1152 divisors, whose sum is σ = 494048056320. Its totient is φ = 23025024000.

The previous prime is 113575076987. The next prime is 113575077017. The reversal of 113575077000 is 770575311.

It is a happy number.

113575077000 is a `hidden beast` number, since 1 + 13 + 575 + 0 + 7 + 70 + 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 287 ways as a sum of consecutive naturals, for example, 358280842 + ... + 358281158.

It is an arithmetic number, because the mean of its divisors is an integer number (428861160).

Almost surely, 2^113575077000 is an apocalyptic number.

113575077000 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 113575077000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247024028160).

113575077000 is an abundant number, since it is smaller than the sum of its proper divisors (380472979320).

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

113575077000 is a wasteful number, since it uses less digits than its factorization.

113575077000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 25725, while the sum is 36.

The spelling of 113575077000 in words is "one hundred thirteen billion, five hundred seventy-five million, seventy-seven thousand".