132972784 has 40 divisors (see below), whose sum is σ = 299445120. Its totient is φ = 56019648.

The previous prime is 132972781. The next prime is 132972787. The reversal of 132972784 is 487279231.

It is an interprime number because it is at equal distance from previous prime (132972781) and next prime (132972787).

It is a super-2 number, since 2×132972784² = 35363522569421312, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 132972784.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132972781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3454 + ... + 16669.

It is an arithmetic number, because the mean of its divisors is an integer number (7486128).

Almost surely, 2^132972784 is an apocalyptic number.

132972784 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

132972784 is an abundant number, since it is smaller than the sum of its proper divisors (166472336).

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

132972784 is a wasteful number, since it uses less digits than its factorization.

132972784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20197 (or 20191 counting only the distinct ones).

The product of its digits is 169344, while the sum is 43.

The square root of 132972784 is about 11531.3825710537. The cubic root of 132972784 is about 510.4120519751.

The spelling of 132972784 in words is "one hundred thirty-two million, nine hundred seventy-two thousand, seven hundred eighty-four".