132677334001 has 15 divisors (see below), whose sum is σ = 140187177051. Its totient is φ = 125569743264.

The previous prime is 132677333983. The next prime is 132677334019. The reversal of 132677334001 is 100433776231.

The square root of 132677334001 is 364249.

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

It is an interprime number because it is at equal distance from previous prime (132677333983) and next prime (132677334019).

It can be written as a sum of positive squares in only one way, i.e., 40722836401 + 91954497600 = 201799^2 + 303240^2 .

It is not a de Polignac number, because 132677334001 - 2⁹ = 132677333489 is a prime.

It is a super-2 number, since 2×132677334001² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132677334091) 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 14 ways as a sum of consecutive naturals, for example, 131493385 + ... + 131494393.

Almost surely, 2^132677334001 is an apocalyptic number.

132677334001 is the 364249-th square number.

132677334001 is the 182125-th centered octagonal number.

It is an amenable number.

132677334001 is a deficient number, since it is larger than the sum of its proper divisors (7509843050).

132677334001 is an frugal number, since it uses more digits than its factorization.

132677334001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2094 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 37.

The spelling of 132677334001 in words is "one hundred thirty-two billion, six hundred seventy-seven million, three hundred thirty-four thousand, one".