132734385 has 72 divisors (see below), whose sum is σ = 283459176. Its totient is φ = 57093120.

The previous prime is 132734383. The next prime is 132734387. The reversal of 132734385 is 583437231.

132734385 is a `hidden beast` number, since 1 + 3 + 273 + 4 + 385 = 666.

It is an interprime number because it is at equal distance from previous prime (132734383) and next prime (132734387).

It can be written as a sum of positive squares in 4 ways, for example, as 22924944 + 109809441 = 4788^2 + 10479^2 .

It is not a de Polignac number, because 132734385 - 2¹ = 132734383 is a prime.

It is a super-2 number, since 2×132734385² = 35236833922656450, which contains 22 as substring.

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 not an unprimeable number, because it can be changed into a prime (132734383) 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 71 ways as a sum of consecutive naturals, for example, 35715 + ... + 39255.

It is an arithmetic number, because the mean of its divisors is an integer number (3936933).

Almost surely, 2^132734385 is an apocalyptic number.

132734385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132734385 is an abundant number, since it is smaller than the sum of its proper divisors (150724791).

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

132734385 is a wasteful number, since it uses less digits than its factorization.

132734385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3583 (or 3573 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 132734385 is about 11521.0409685931. The cubic root of 132734385 is about 510.1068403615.

Subtracting from 132734385 its product of digits (60480), we obtain a triangular number (132673905 = T₁₆₂₈₉).

The spelling of 132734385 in words is "one hundred thirty-two million, seven hundred thirty-four thousand, three hundred eighty-five".