131978560 has 168 divisors, whose sum is σ = 385693920. Its totient is φ = 42771456.

The previous prime is 131978537. The next prime is 131978569. The reversal of 131978560 is 65879131.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131978569) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 297699 + ... + 298141.

Almost surely, 2^131978560 is an apocalyptic number.

131978560 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 131978560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192846960).

131978560 is an abundant number, since it is smaller than the sum of its proper divisors (253715360).

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

131978560 is a wasteful number, since it uses less digits than its factorization.

131978560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 40.

The square root of 131978560 is about 11488.1921989493. The cubic root of 131978560 is about 509.1367685961.

The spelling of 131978560 in words is "one hundred thirty-one million, nine hundred seventy-eight thousand, five hundred sixty".