86125782132 has 36 divisors (see below), whose sum is σ = 234453519300. Its totient is φ = 26500240512.

The previous prime is 86125782131. The next prime is 86125782133. The reversal of 86125782132 is 23128752168.

86125782132 is a `hidden beast` number, since 8 + 61 + 2 + 578 + 2 + 13 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (86125782131) and next prime (86125782133).

It can be written as a sum of positive squares in 2 ways, for example, as 38952548496 + 47173233636 = 197364^2 + 217194^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86125782131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92014257 + ... + 92015192.

Almost surely, 2^86125782132 is an apocalyptic number.

It is an amenable number.

86125782132 is an abundant number, since it is smaller than the sum of its proper divisors (148327737168).

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

86125782132 is a wasteful number, since it uses less digits than its factorization.

86125782132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184029472 (or 184029467 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The spelling of 86125782132 in words is "eighty-six billion, one hundred twenty-five million, seven hundred eighty-two thousand, one hundred thirty-two".