115131481920 has 1680 divisors, whose sum is σ = 541528162560. Its totient is φ = 22950273024.

The previous prime is 115131481919. The next prime is 115131481951. The reversal of 115131481920 is 29184131511.

115131481920 is a `hidden beast` number, since 1 + 151 + 3 + 1 + 481 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 313709577 + ... + 313709943.

It is an arithmetic number, because the mean of its divisors is an integer number (322338192).

Almost surely, 2^115131481920 is an apocalyptic number.

115131481920 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 115131481920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270764081280).

115131481920 is an abundant number, since it is smaller than the sum of its proper divisors (426396680640).

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

115131481920 is a wasteful number, since it uses less digits than its factorization.

115131481920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

The spelling of 115131481920 in words is "one hundred fifteen billion, one hundred thirty-one million, four hundred eighty-one thousand, nine hundred twenty".