132417654100369 has 27 divisors (see below), whose sum is σ = 150746195055729. Its totient is φ = 116225439865920.

The previous prime is 132417654100367. The next prime is 132417654100397. The reversal of 132417654100369 is 963001456714231.

The square root of 132417654100369 is 11507287.

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

It can be written as a sum of positive squares in 4 ways, for example, as 33207846890625 + 99209807209744 = 5762625^2 + 9960412^2 .

It is not a de Polignac number, because 132417654100369 - 2¹ = 132417654100367 is a prime.

It is a super-2 number, since 2×132417654100369² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132417654100367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3670806517 + ... + 3670842589.

Almost surely, 2^{132417654100369} is an apocalyptic number.

132417654100369 is the 11507287-th square number.

132417654100369 is the 5753644-th centered octagonal number.

It is an amenable number.

132417654100369 is a deficient number, since it is larger than the sum of its proper divisors (18328540955360).

132417654100369 is an frugal number, since it uses more digits than its factorization.

132417654100369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72226 (or 36113 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 52.

The spelling of 132417654100369 in words is "one hundred thirty-two trillion, four hundred seventeen billion, six hundred fifty-four million, one hundred thousand, three hundred sixty-nine".