131487490766016 has 560 divisors, whose sum is σ = 490488876548352. Its totient is φ = 33833400883200.

The previous prime is 131487490765957. The next prime is 131487490766041. The reversal of 131487490766016 is 610667094784131.

131487490766016 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 8 + 7 + 490 + 76 + 60 + 16 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 41171706 + ... + 44250246.

Almost surely, 2^{131487490766016} is an apocalyptic number.

131487490766016 is a gapful number since it is divisible by the number (16) 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 131487490766016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245244438274176).

131487490766016 is an abundant number, since it is smaller than the sum of its proper divisors (359001385782336).

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

131487490766016 is a wasteful number, since it uses less digits than its factorization.

131487490766016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3078690 (or 3078671 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 131487490766016 in words is "one hundred thirty-one trillion, four hundred eighty-seven billion, four hundred ninety million, seven hundred sixty-six thousand, sixteen".