132810678 has 252 divisors, whose sum is σ = 410438988. Its totient is φ = 31842720.

The previous prime is 132810653. The next prime is 132810679. The reversal of 132810678 is 876018231.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132810679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 10216200 + ... + 10216212.

Almost surely, 2^132810678 is an apocalyptic number.

132810678 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132810678, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205219494).

132810678 is an abundant number, since it is smaller than the sum of its proper divisors (277628310).

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

132810678 is a wasteful number, since it uses less digits than its factorization.

132810678 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 132810678 is about 11524.3515218862. The cubic root of 132810678 is about 510.2045546229.

The spelling of 132810678 in words is "one hundred thirty-two million, eight hundred ten thousand, six hundred seventy-eight".