132892327936 has 75 divisors (see below), whose sum is σ = 268804546741. Its totient is φ = 65699577856.

The previous prime is 132892327891. The next prime is 132892327973. The reversal of 132892327936 is 639723298231.

The square root of 132892327936 is 364544.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 25518145536 + 107374182400 = 159744^2 + 327680^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1493172180 + ... + 1493172268.

Almost surely, 2^132892327936 is an apocalyptic number.

132892327936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

132892327936 is the 364544-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132892327936

132892327936 is an abundant number, since it is smaller than the sum of its proper divisors (135912218805).

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

132892327936 is an frugal number, since it uses more digits than its factorization.

132892327936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 91 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 55.

The spelling of 132892327936 in words is "one hundred thirty-two billion, eight hundred ninety-two million, three hundred twenty-seven thousand, nine hundred thirty-six".