131272909440 has 128 divisors (see below), whose sum is σ = 418596984000. Its totient is φ = 34992340992.

The previous prime is 131272909381. The next prime is 131272909457. The reversal of 131272909440 is 44909272131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×131272909440² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131272909392 and 131272909401.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5446536 + ... + 5470584.

Almost surely, 2^131272909440 is an apocalyptic number.

131272909440 is a gapful number since it is divisible by the number (10) 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 131272909440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209298492000).

131272909440 is an abundant number, since it is smaller than the sum of its proper divisors (287324074560).

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

131272909440 is a wasteful number, since it uses less digits than its factorization.

131272909440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26914 (or 26902 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 131272909440 in words is "one hundred thirty-one billion, two hundred seventy-two million, nine hundred nine thousand, four hundred forty".