132870 has 32 divisors (see below), whose sum is σ = 329472. Its totient is φ = 34272.

The previous prime is 132863. The next prime is 132887. The reversal of 132870 is 78231.

132870 is a nontrivial binomial coefficient, being equal to C(516, 2).

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a plaindrome in base 9.

It is a zygodrome in base 9.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 132870.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1239 + ... + 1341.

It is an arithmetic number, because the mean of its divisors is an integer number (10296).

2¹³²⁸⁷⁰ is an apocalyptic number.

132870 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132870 is the 515-th triangular number and also the 258-th hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164736).

132870 is an abundant number, since it is smaller than the sum of its proper divisors (196602).

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

132870 is a wasteful number, since it uses less digits than its factorization.

132870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156.

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 132870 is about 364.5133742402. The cubic root of 132870 is about 51.0280506973.

The spelling of 132870 in words is "one hundred thirty-two thousand, eight hundred seventy".