113195520 has 240 divisors, whose sum is σ = 416524680. Its totient is φ = 28409856.

The previous prime is 113195507. The next prime is 113195527. The reversal of 113195520 is 25591311.

113195520 is a `hidden beast` number, since 1 + 131 + 9 + 5 + 520 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 94945536 + 18249984 = 9744^2 + 4272^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (113195527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6658552 + ... + 6658568.

Almost surely, 2^113195520 is an apocalyptic number.

113195520 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 113195520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208262340).

113195520 is an abundant number, since it is smaller than the sum of its proper divisors (303329160).

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

113195520 is an frugal number, since it uses more digits than its factorization.

113195520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The square root of 113195520 is about 10639.3383252907. The cubic root of 113195520 is about 483.7374894106.

The spelling of 113195520 in words is "one hundred thirteen million, one hundred ninety-five thousand, five hundred twenty".