113553540 has 144 divisors (see below), whose sum is σ = 373621248. Its totient is φ = 27804672.

The previous prime is 113553529. The next prime is 113553563. The reversal of 113553540 is 45355311.

113553540 is a `hidden beast` number, since 113 + 5 + 5 + 3 + 540 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 131149 + ... + 132011.

It is an arithmetic number, because the mean of its divisors is an integer number (2594592).

Almost surely, 2^113553540 is an apocalyptic number.

113553540 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 113553540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186810624).

113553540 is an abundant number, since it is smaller than the sum of its proper divisors (260067708).

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

113553540 is a wasteful number, since it uses less digits than its factorization.

113553540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 113553540 is about 10656.1503367773. The cubic root of 113553540 is about 484.2469484053.

The spelling of 113553540 in words is "one hundred thirteen million, five hundred fifty-three thousand, five hundred forty".