113545152 has 252 divisors, whose sum is σ = 395249400. Its totient is φ = 32223744.

The previous prime is 113545151. The next prime is 113545163. The reversal of 113545152 is 251545311.

113545152 is a `hidden beast` number, since 113 + 545 + 1 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113545151) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 761974 + ... + 762122.

It is an arithmetic number, because the mean of its divisors is an integer number (1568450).

Almost surely, 2^113545152 is an apocalyptic number.

113545152 is a gapful number since it is divisible by the number (12) 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 113545152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197624700).

113545152 is an abundant number, since it is smaller than the sum of its proper divisors (281704248).

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

113545152 is an equidigital number, since it uses as much as digits as its factorization.

113545152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 161 counting only the distinct ones).

The product of its digits is 3000, while the sum is 27.

The square root of 113545152 is about 10655.7567539805. The cubic root of 113545152 is about 484.2350246219.

The spelling of 113545152 in words is "one hundred thirteen million, five hundred forty-five thousand, one hundred fifty-two".