132181335 has 128 divisors (see below), whose sum is σ = 284497920. Its totient is φ = 57369600.

The previous prime is 132181321. The next prime is 132181337. The reversal of 132181335 is 533181231.

132181335 is a `hidden beast` number, since 1 + 321 + 8 + 1 + 335 = 666.

It is not a de Polignac number, because 132181335 - 2¹¹ = 132179287 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (2160) is a multiple of the sum of its prime divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 132181299 and 132181308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132181337) 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 127 ways as a sum of consecutive naturals, for example, 791422 + ... + 791588.

It is an arithmetic number, because the mean of its divisors is an integer number (2222640).

Almost surely, 2^132181335 is an apocalyptic number.

132181335 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

132181335 is an abundant number, since it is smaller than the sum of its proper divisors (152316585).

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

132181335 is a wasteful number, since it uses less digits than its factorization.

132181335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 240 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 132181335 is about 11497.0141776028. The cubic root of 132181335 is about 509.3973851178.

The spelling of 132181335 in words is "one hundred thirty-two million, one hundred eighty-one thousand, three hundred thirty-five".