131151417280 has 448 divisors, whose sum is σ = 361574535168. Its totient is φ = 44962283520.

The previous prime is 131151417251. The next prime is 131151417283. The reversal of 131151417280 is 82714151131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131151417283) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 371533584 + ... + 371533936.

It is an arithmetic number, because the mean of its divisors is an integer number (807086016).

Almost surely, 2^131151417280 is an apocalyptic number.

131151417280 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 131151417280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180787267584).

131151417280 is an abundant number, since it is smaller than the sum of its proper divisors (230423117888).

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

131151417280 is a wasteful number, since it uses less digits than its factorization.

131151417280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 34.

The spelling of 131151417280 in words is "one hundred thirty-one billion, one hundred fifty-one million, four hundred seventeen thousand, two hundred eighty".