131252760 has 192 divisors, whose sum is σ = 464256000. Its totient is φ = 32037120.

The previous prime is 131252747. The next prime is 131252773. The reversal of 131252760 is 67252131.

It is a happy number.

131252760 is a `hidden beast` number, since 131 + 2 + 527 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (131252747) and next prime (131252773).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 211731 + ... + 212349.

It is an arithmetic number, because the mean of its divisors is an integer number (2418000).

Almost surely, 2^131252760 is an apocalyptic number.

131252760 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 131252760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232128000).

131252760 is an abundant number, since it is smaller than the sum of its proper divisors (333003240).

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

131252760 is a wasteful number, since it uses less digits than its factorization.

131252760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 131252760 is about 11456.5596930318. The cubic root of 131252760 is about 508.2017406097.

The spelling of 131252760 in words is "one hundred thirty-one million, two hundred fifty-two thousand, seven hundred sixty".