131960847997440 has 3840 divisors, whose sum is σ = 609481574254080. Its totient is φ = 26977370112000.

The previous prime is 131960847997427. The next prime is 131960847997501. The reversal of 131960847997440 is 44799748069131.

131960847997440 is a `hidden beast` number, since 1 + 3 + 1 + 9 + 60 + 8 + 479 + 97 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 329079421240 + ... + 329079421640.

It is an arithmetic number, because the mean of its divisors is an integer number (158719159962).

Almost surely, 2^{131960847997440} is an apocalyptic number.

131960847997440 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 131960847997440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304740787127040).

131960847997440 is an abundant number, since it is smaller than the sum of its proper divisors (477520726256640).

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

131960847997440 is an equidigital number, since it uses as much as digits as its factorization.

131960847997440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 329204736, while the sum is 72.

The spelling of 131960847997440 in words is "one hundred thirty-one trillion, nine hundred sixty billion, eight hundred forty-seven million, nine hundred ninety-seven thousand, four hundred forty".