132819690 has 64 divisors (see below), whose sum is σ = 343411200. Its totient is φ = 32768064.

The previous prime is 132819689. The next prime is 132819707. The reversal of 132819690 is 96918231.

It is a super-2 number, since 2×132819690² = 35282140103392200, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 21801 + ... + 27219.

It is an arithmetic number, because the mean of its divisors is an integer number (5365800).

Almost surely, 2^132819690 is an apocalyptic number.

132819690 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 132819690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171705600).

132819690 is an abundant number, since it is smaller than the sum of its proper divisors (210591510).

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

132819690 is a wasteful number, since it uses less digits than its factorization.

132819690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5491.

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 132819690 is about 11524.7425133927. The cubic root of 132819690 is about 510.2160945069.

The spelling of 132819690 in words is "one hundred thirty-two million, eight hundred nineteen thousand, six hundred ninety".