132586107192 has 1152 divisors, whose sum is σ = 516276633600. Its totient is φ = 29889699840.

The previous prime is 132586107127. The next prime is 132586107193. The reversal of 132586107192 is 291701685231.

132586107192 is a `hidden beast` number, since 1 + 3 + 25 + 8 + 610 + 7 + 1 + 9 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132586107193) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1043985033 + ... + 1043985159.

It is an arithmetic number, because the mean of its divisors is an integer number (448156800).

Almost surely, 2^132586107192 is an apocalyptic number.

132586107192 is a gapful number since it is divisible by the number (12) 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 132586107192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258138316800).

132586107192 is an abundant number, since it is smaller than the sum of its proper divisors (383690526408).

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

132586107192 is a wasteful number, since it uses less digits than its factorization.

132586107192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

It can be divided in two parts, 132586 and 107192, that added together give a triangular number (239778 = T₆₉₂).

The spelling of 132586107192 in words is "one hundred thirty-two billion, five hundred eighty-six million, one hundred seven thousand, one hundred ninety-two".