131915995545600 has 3780 divisors, whose sum is σ = 597096425867256. Its totient is φ = 28841261137920.

The previous prime is 131915995545599. The next prime is 131915995545611. The reversal of 131915995545600 is 6545599519131.

131915995545600 is a `hidden beast` number, since 1 + 3 + 1 + 9 + 15 + 9 + 9 + 5 + 5 + 4 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (3780).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 209 ways as a sum of consecutive naturals, for example, 5735478067189 + ... + 5735478067211.

Almost surely, 2^{131915995545600} is an apocalyptic number.

131915995545600 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 131915995545600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298548212933628).

131915995545600 is an abundant number, since it is smaller than the sum of its proper divisors (465180430321656).

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

131915995545600 is an frugal number, since it uses more digits than its factorization.

131915995545600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 32805000, while the sum is 63.

The spelling of 131915995545600 in words is "one hundred thirty-one trillion, nine hundred fifteen billion, nine hundred ninety-five million, five hundred forty-five thousand, six hundred".