131652360 has 192 divisors, whose sum is σ = 495331200. Its totient is φ = 29703168.

The previous prime is 131652347. The next prime is 131652379. The reversal of 131652360 is 63256131.

131652360 is a `hidden beast` number, since 1 + 3 + 1 + 652 + 3 + 6 + 0 = 666.

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, 223987 + ... + 224573.

It is an arithmetic number, because the mean of its divisors is an integer number (2579850).

Almost surely, 2^131652360 is an apocalyptic number.

131652360 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 131652360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247665600).

131652360 is an abundant number, since it is smaller than the sum of its proper divisors (363678840).

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

131652360 is a wasteful number, since it uses less digits than its factorization.

131652360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 131652360 is about 11473.9862297285. The cubic root of 131652360 is about 508.7169594216.

The spelling of 131652360 in words is "one hundred thirty-one million, six hundred fifty-two thousand, three hundred sixty".