131689071360 has 864 divisors, whose sum is σ = 586505687040. Its totient is φ = 26475724800.

The previous prime is 131689071347. The next prime is 131689071361. The reversal of 131689071360 is 63170986131.

131689071360 is a `hidden beast` number, since 131 + 6 + 8 + 90 + 71 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (131689071361) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27495846 + ... + 27500634.

Almost surely, 2^131689071360 is an apocalyptic number.

131689071360 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 131689071360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293252843520).

131689071360 is an abundant number, since it is smaller than the sum of its proper divisors (454816615680).

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

131689071360 is a wasteful number, since it uses less digits than its factorization.

131689071360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4865 (or 4848 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 131689071360 in words is "one hundred thirty-one billion, six hundred eighty-nine million, seventy-one thousand, three hundred sixty".