131372274432 has 144 divisors (see below), whose sum is σ = 401309475840. Its totient is φ = 37373485056.

The previous prime is 131372274401. The next prime is 131372274463. The reversal of 131372274432 is 234472273131.

It is an interprime number because it is at equal distance from previous prime (131372274401) and next prime (131372274463).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1200169 + ... + 1305047.

It is an arithmetic number, because the mean of its divisors is an integer number (2786871360).

Almost surely, 2^131372274432 is an apocalyptic number.

131372274432 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 131372274432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200654737920).

131372274432 is an abundant number, since it is smaller than the sum of its proper divisors (269937201408).

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

131372274432 is a wasteful number, since it uses less digits than its factorization.

131372274432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105138 (or 105124 counting only the distinct ones).

The product of its digits is 169344, while the sum is 39.

The spelling of 131372274432 in words is "one hundred thirty-one billion, three hundred seventy-two million, two hundred seventy-four thousand, four hundred thirty-two".