131498505672192 has 400 divisors, whose sum is σ = 403299529289712. Its totient is φ = 42626653470720.

The previous prime is 131498505672181. The next prime is 131498505672203. The reversal of 131498505672192 is 291276505894131.

It is a happy number.

131498505672192 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 9 + 8 + 50 + 567 + 2 + 19 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (131498505672181) and next prime (131498505672203).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3196267942 + ... + 3196309082.

It is a 1-persistent number, because it is pandigital, but 2⋅131498505672192 = 262997011344384 is not.

Almost surely, 2^{131498505672192} is an apocalyptic number.

131498505672192 is a gapful number since it is divisible by the number (12) 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 131498505672192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201649764644856).

131498505672192 is an abundant number, since it is smaller than the sum of its proper divisors (271801023617520).

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

131498505672192 is an equidigital number, since it uses as much as digits as its factorization.

131498505672192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43291 (or 43266 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 131498505672192 in words is "one hundred thirty-one trillion, four hundred ninety-eight billion, five hundred five million, six hundred seventy-two thousand, one hundred ninety-two".