131762886816 has 384 divisors, whose sum is σ = 406313107200. Its totient is φ = 37074862080.

The previous prime is 131762886757. The next prime is 131762886821. The reversal of 131762886816 is 618688267131.

It is a happy number.

It is a super-2 number, since 2×131762886816² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 565505836 + ... + 565506068.

It is an arithmetic number, because the mean of its divisors is an integer number (1058107050).

Almost surely, 2^131762886816 is an apocalyptic number.

131762886816 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 131762886816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203156553600).

131762886816 is an abundant number, since it is smaller than the sum of its proper divisors (274550220384).

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

131762886816 is a wasteful number, since it uses less digits than its factorization.

131762886816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 375 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 57.

The spelling of 131762886816 in words is "one hundred thirty-one billion, seven hundred sixty-two million, eight hundred eighty-six thousand, eight hundred sixteen".