115131456000 has 960 divisors, whose sum is σ = 469832178816. Its totient is φ = 27869184000.

The previous prime is 115131455993. The next prime is 115131456031. The reversal of 115131456000 is 654131511.

115131456000 is a `hidden beast` number, since 1 + 1 + 5 + 13 + 1 + 45 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 171071664 + ... + 171072336.

Almost surely, 2^115131456000 is an apocalyptic number.

115131456000 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 115131456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234916089408).

115131456000 is an abundant number, since it is smaller than the sum of its proper divisors (354700722816).

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

115131456000 is an frugal number, since it uses more digits than its factorization.

115131456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 115131456000 its reverse (654131511), we get a palindrome (115785587511).

The spelling of 115131456000 in words is "one hundred fifteen billion, one hundred thirty-one million, four hundred fifty-six thousand".