113009148252 has 1296 divisors, whose sum is σ = 442236648672. Its totient is φ = 23828152320.

The previous prime is 113009148229. The next prime is 113009148257. The reversal of 113009148252 is 252841900311.

113009148252 is a `hidden beast` number, since 11 + 30 + 0 + 91 + 482 + 52 = 666.

113009148252 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113009148257) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1548070488 + ... + 1548070560.

It is an arithmetic number, because the mean of its divisors is an integer number (341231982).

Almost surely, 2^113009148252 is an apocalyptic number.

113009148252 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 113009148252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221118324336).

113009148252 is an abundant number, since it is smaller than the sum of its proper divisors (329227500420).

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

113009148252 is a wasteful number, since it uses less digits than its factorization.

113009148252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 113009148252 in words is "one hundred thirteen billion, nine million, one hundred forty-eight thousand, two hundred fifty-two".