132819764 has 72 divisors (see below), whose sum is σ = 294940800. Its totient is φ = 51226560.

The previous prime is 132819763. The next prime is 132819767. The reversal of 132819764 is 467918231.

132819764 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

132819764 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132819763) 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, 667337 + ... + 667535.

It is an arithmetic number, because the mean of its divisors is an integer number (4096400).

Almost surely, 2^132819764 is an apocalyptic number.

132819764 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 132819764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147470400).

132819764 is an abundant number, since it is smaller than the sum of its proper divisors (162121036).

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

132819764 is a wasteful number, since it uses less digits than its factorization.

132819764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 416 counting only the distinct ones).

The product of its digits is 72576, while the sum is 41.

The square root of 132819764 is about 11524.7457238761. The cubic root of 132819764 is about 510.2161892619.

The spelling of 132819764 in words is "one hundred thirty-two million, eight hundred nineteen thousand, seven hundred sixty-four".