131634360 has 192 divisors, whose sum is σ = 502800480. Its totient is φ = 29445120.

The previous prime is 131634353. The next prime is 131634361. The reversal of 131634360 is 63436131.

131634360 is a `hidden beast` number, since 1 + 316 + 343 + 6 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131634361) 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, 50202 + ... + 52758.

Almost surely, 2^131634360 is an apocalyptic number.

131634360 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 131634360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251400240).

131634360 is an abundant number, since it is smaller than the sum of its proper divisors (371166120).

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

131634360 is a wasteful number, since it uses less digits than its factorization.

131634360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2598 (or 2591 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 131634360 is about 11473.2018198932. The cubic root of 131634360 is about 508.6937738070.

The spelling of 131634360 in words is "one hundred thirty-one million, six hundred thirty-four thousand, three hundred sixty".