131548117278480 has 2560 divisors, whose sum is σ = 537394176000000. Its totient is φ = 25939577438208.

The previous prime is 131548117278439. The next prime is 131548117278497. The reversal of 131548117278480 is 84872711845131.

It is a super-2 number, since 2×131548117278480² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 263623481271 + ... + 263623481769.

It is an arithmetic number, because the mean of its divisors is an integer number (209919600000).

Almost surely, 2^{131548117278480} is an apocalyptic number.

131548117278480 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 131548117278480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268697088000000).

131548117278480 is an abundant number, since it is smaller than the sum of its proper divisors (405846058721520).

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

131548117278480 is a wasteful number, since it uses less digits than its factorization.

131548117278480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 12042240, while the sum is 60.

The spelling of 131548117278480 in words is "one hundred thirty-one trillion, five hundred forty-eight billion, one hundred seventeen million, two hundred seventy-eight thousand, four hundred eighty".