113527120 has 60 divisors (see below), whose sum is σ = 307055124. Its totient is φ = 38922240.

The previous prime is 113527093. The next prime is 113527121. The reversal of 113527120 is 21725311.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 79281216 + 34245904 = 8904^2 + 5852^2 .

It is a super-4 number, since 4×113527120⁴ (a number of 33 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 113527091 and 113527100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113527121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10561 + ... + 18400.

Almost surely, 2^113527120 is an apocalyptic number.

113527120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113527120 is an abundant number, since it is smaller than the sum of its proper divisors (193528004).

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

113527120 is a wasteful number, since it uses less digits than its factorization.

113527120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28988 (or 28975 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 113527120 is about 10654.9106049746. The cubic root of 113527120 is about 484.2093896269.

The spelling of 113527120 in words is "one hundred thirteen million, five hundred twenty-seven thousand, one hundred twenty".