132876216 has 192 divisors, whose sum is σ = 424569600. Its totient is φ = 37094400.

The previous prime is 132876197. The next prime is 132876229. The reversal of 132876216 is 612678231.

132876216 is a `hidden beast` number, since 1 + 3 + 28 + 7 + 621 + 6 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 955875 + ... + 956013.

It is an arithmetic number, because the mean of its divisors is an integer number (2211300).

Almost surely, 2^132876216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132876216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212284800).

132876216 is an abundant number, since it is smaller than the sum of its proper divisors (291693384).

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

132876216 is a wasteful number, since it uses less digits than its factorization.

132876216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 243 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 132876216 is about 11527.1946283560. The cubic root of 132876216 is about 510.2884642602.

It can be divided in two parts, 13287 and 6216, that added together give a triangular number (19503 = T₁₉₇).

The spelling of 132876216 in words is "one hundred thirty-two million, eight hundred seventy-six thousand, two hundred sixteen".