132786864 has 360 divisors, whose sum is σ = 486250128. Its totient is φ = 34836480.

The previous prime is 132786851. The next prime is 132786869. The reversal of 132786864 is 468687231.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (132786869) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3238684 + ... + 3238724.

Almost surely, 2^132786864 is an apocalyptic number.

132786864 is a gapful number since it is divisible by the number (14) 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 132786864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243125064).

132786864 is an abundant number, since it is smaller than the sum of its proper divisors (353463264).

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

132786864 is a wasteful number, since it uses less digits than its factorization.

132786864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 70 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 132786864 is about 11523.3182720951. The cubic root of 132786864 is about 510.1740582359.

The spelling of 132786864 in words is "one hundred thirty-two million, seven hundred eighty-six thousand, eight hundred sixty-four".