131782560 has 288 divisors, whose sum is σ = 521240832. Its totient is φ = 27740160.

The previous prime is 131782531. The next prime is 131782561. The reversal of 131782560 is 65287131.

It is not an unprimeable number, because it can be changed into a prime (131782561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 305545 + ... + 305975.

It is an arithmetic number, because the mean of its divisors is an integer number (1809864).

Almost surely, 2^131782560 is an apocalyptic number.

131782560 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 131782560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260620416).

131782560 is an abundant number, since it is smaller than the sum of its proper divisors (389458272).

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

131782560 is a wasteful number, since it uses less digits than its factorization.

131782560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 131782560 is about 11479.6585315069. The cubic root of 131782560 is about 508.8846058032.

The spelling of 131782560 in words is "one hundred thirty-one million, seven hundred eighty-two thousand, five hundred sixty".