131518416480 has 768 divisors, whose sum is σ = 511678218240. Its totient is φ = 27979776000.

The previous prime is 131518416479. The next prime is 131518416559. The reversal of 131518416480 is 84614815131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 114263905 + ... + 114265055.

It is an arithmetic number, because the mean of its divisors is an integer number (666247680).

Almost surely, 2^131518416480 is an apocalyptic number.

131518416480 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 131518416480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255839109120).

131518416480 is an abundant number, since it is smaller than the sum of its proper divisors (380159801760).

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

131518416480 is a wasteful number, since it uses less digits than its factorization.

131518416480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1283 (or 1275 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The spelling of 131518416480 in words is "one hundred thirty-one billion, five hundred eighteen million, four hundred sixteen thousand, four hundred eighty".