131462801766 has 64 divisors (see below), whose sum is σ = 297752371200. Its totient is φ = 42979573728.

The previous prime is 131462801753. The next prime is 131462801773. The reversal of 131462801766 is 667108264131.

131462801766 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 628 + 0 + 17 + 6 + 6 = 666.

It is a super-2 number, since 2×131462801766² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11347765 + ... + 11359343.

It is an arithmetic number, because the mean of its divisors is an integer number (4652380800).

Almost surely, 2^131462801766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131462801766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148876185600).

131462801766 is an abundant number, since it is smaller than the sum of its proper divisors (166289569434).

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

131462801766 is a wasteful number, since it uses less digits than its factorization.

131462801766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15610 (or 15604 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 131462801766 in words is "one hundred thirty-one billion, four hundred sixty-two million, eight hundred one thousand, seven hundred sixty-six".