113261152000 has 144 divisors (see below), whose sum is σ = 282579189984. Its totient is φ = 45235200000.

The previous prime is 113261151979. The next prime is 113261152009. The reversal of 113261152000 is 251162311.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113261152009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24349675 + ... + 24354325.

It is an arithmetic number, because the mean of its divisors is an integer number (1962355486).

Almost surely, 2^113261152000 is an apocalyptic number.

113261152000 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 113261152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141289594992).

113261152000 is an abundant number, since it is smaller than the sum of its proper divisors (169318037984).

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

113261152000 is an frugal number, since it uses more digits than its factorization.

113261152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5443 (or 5419 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The spelling of 113261152000 in words is "one hundred thirteen billion, two hundred sixty-one million, one hundred fifty-two thousand".