132377364 has 72 divisors (see below), whose sum is σ = 387092160. Its totient is φ = 37360512.

The previous prime is 132377309. The next prime is 132377369. The reversal of 132377364 is 463773231.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132377369) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17752 + ... + 24080.

It is an arithmetic number, because the mean of its divisors is an integer number (5376280).

Almost surely, 2^132377364 is an apocalyptic number.

132377364 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132377364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193546080).

132377364 is an abundant number, since it is smaller than the sum of its proper divisors (254714796).

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

132377364 is a wasteful number, since it uses less digits than its factorization.

132377364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6429 (or 6424 counting only the distinct ones).

The product of its digits is 63504, while the sum is 36.

The square root of 132377364 is about 11505.5362326143. The cubic root of 132377364 is about 509.6490780848.

It can be divided in two parts, 1323 and 77364, that added together give a palindrome (78687).

The spelling of 132377364 in words is "one hundred thirty-two million, three hundred seventy-seven thousand, three hundred sixty-four".