135607326001 has 27 divisors (see below), whose sum is σ = 163096177707. Its totient is φ = 112419054720.

The previous prime is 135607325989. The next prime is 135607326007. The reversal of 135607326001 is 100623706531.

The square root of 135607326001 is 368249.

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., 130541303025 + 5066022976 = 361305^2 + 71176^2 .

It is not a de Polignac number, because 135607326001 - 2⁹ = 135607325489 is a prime.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135607326007) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 79909185 + ... + 79910881.

Almost surely, 2^135607326001 is an apocalyptic number.

135607326001 is the 368249-th square number.

135607326001 is the 184125-th centered octagonal number.

It is an amenable number.

135607326001 is a deficient number, since it is larger than the sum of its proper divisors (27488851706).

135607326001 is an frugal number, since it uses more digits than its factorization.

135607326001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3470 (or 1735 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 34.

The spelling of 135607326001 in words is "one hundred thirty-five billion, six hundred seven million, three hundred twenty-six thousand, one".