113551776 has 108 divisors (see below), whose sum is σ = 349812918. Its totient is φ = 34924032.

The previous prime is 113551751. The next prime is 113551783. The reversal of 113551776 is 677155311.

113551776 is a `hidden beast` number, since 1 + 135 + 517 + 7 + 6 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 47941776 + 65610000 = 6924^2 + 8100^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 113551776.

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 17 ways as a sum of consecutive naturals, for example, 47506 + ... + 49838.

Almost surely, 2^113551776 is an apocalyptic number.

113551776 is a gapful number since it is divisible by the number (16) 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 113551776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174906459).

113551776 is an abundant number, since it is smaller than the sum of its proper divisors (236261142).

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

113551776 is a wasteful number, since it uses less digits than its factorization.

113551776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2375 (or 2351 counting only the distinct ones).

The product of its digits is 22050, while the sum is 36.

The square root of 113551776 is about 10656.0675673534. The cubic root of 113551776 is about 484.2444408773.

It can be divided in two parts, 11355 and 1776, that added together give a palindrome (13131).

The spelling of 113551776 in words is "one hundred thirteen million, five hundred fifty-one thousand, seven hundred seventy-six".