132364890 has 144 divisors (see below), whose sum is σ = 418384512. Its totient is φ = 28435968.

The previous prime is 132364867. The next prime is 132364909. The reversal of 132364890 is 98463231.

132364890 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 648 + 9 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 181707 + ... + 182433.

It is an arithmetic number, because the mean of its divisors is an integer number (2905448).

Almost surely, 2^132364890 is an apocalyptic number.

132364890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132364890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209192256).

132364890 is an abundant number, since it is smaller than the sum of its proper divisors (286019622).

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

132364890 is a wasteful number, since it uses less digits than its factorization.

132364890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 132364890 is about 11504.9941329842. The cubic root of 132364890 is about 509.6330694004.

The spelling of 132364890 in words is "one hundred thirty-two million, three hundred sixty-four thousand, eight hundred ninety".