131942698272 has 432 divisors, whose sum is σ = 487787305824. Its totient is φ = 33433344000.

The previous prime is 131942698267. The next prime is 131942698319. The reversal of 131942698272 is 272896249131.

131942698272 is a `hidden beast` number, since 131 + 9 + 426 + 9 + 82 + 7 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6354147 + ... + 6374877.

It is an arithmetic number, because the mean of its divisors is an integer number (1129137282).

Almost surely, 2^131942698272 is an apocalyptic number.

131942698272 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 131942698272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243893652912).

131942698272 is an abundant number, since it is smaller than the sum of its proper divisors (355844607552).

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

131942698272 is a wasteful number, since it uses less digits than its factorization.

131942698272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20813 (or 20795 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The spelling of 131942698272 in words is "one hundred thirty-one billion, nine hundred forty-two million, six hundred ninety-eight thousand, two hundred seventy-two".