132322137834496 has 297 divisors, whose sum is σ = 276089342119149. Its totient is φ = 63386880614400.

The previous prime is 132322137834443. The next prime is 132322137834517. The reversal of 132322137834496 is 694438731223231.

The square root of 132322137834496 is 11503136.

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., 4302869840896 + 128019267993600 = 2074336^2 + 11314560^2 .

It is a super-2 number, since 2×132322137834496² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 132322137834496.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1594242624471 + ... + 1594242624553.

Almost surely, 2^{132322137834496} is an apocalyptic number.

132322137834496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

132322137834496 is the 11503136-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132322137834496

132322137834496 is an abundant number, since it is smaller than the sum of its proper divisors (143767204284653).

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

132322137834496 is an frugal number, since it uses more digits than its factorization.

132322137834496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 217 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 58.

The spelling of 132322137834496 in words is "one hundred thirty-two trillion, three hundred twenty-two billion, one hundred thirty-seven million, eight hundred thirty-four thousand, four hundred ninety-six".