113257760 has 192 divisors, whose sum is σ = 346187520. Its totient is φ = 33976320.

The previous prime is 113257747. The next prime is 113257769. The reversal of 113257760 is 67752311.

It is a super-5 number, since 5×113257760⁵ (a number of 41 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113257769) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 357122 + ... + 357438.

It is an arithmetic number, because the mean of its divisors is an integer number (1803060).

Almost surely, 2^113257760 is an apocalyptic number.

113257760 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 113257760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173093760).

113257760 is an abundant number, since it is smaller than the sum of its proper divisors (232929760).

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

113257760 is a wasteful number, since it uses less digits than its factorization.

113257760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 32.

The square root of 113257760 is about 10642.2629172559. The cubic root of 113257760 is about 483.8261333924.

The spelling of 113257760 in words is "one hundred thirteen million, two hundred fifty-seven thousand, seven hundred sixty".