132772004702865 has 288 divisors, whose sum is σ = 259849491501600. Its totient is φ = 62642731008000.

The previous prime is 132772004702863. The next prime is 132772004702969. The reversal of 132772004702865 is 568207400277231.

It is a happy number.

132772004702865 is a `hidden beast` number, since 1 + 3 + 2 + 77 + 20 + 0 + 470 + 2 + 86 + 5 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 56707948299024 + 76064056403841 = 7530468^2 + 8721471^2 .

It is not a de Polignac number, because 132772004702865 - 2¹ = 132772004702863 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132772004702863) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 35302312585 + ... + 35302316345.

It is an arithmetic number, because the mean of its divisors is an integer number (902255178825).

Almost surely, 2^{132772004702865} is an apocalyptic number.

132772004702865 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132772004702865 is a deficient number, since it is larger than the sum of its proper divisors (127077486798735).

132772004702865 is a wasteful number, since it uses less digits than its factorization.

132772004702865 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4817 (or 4803 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 132772004702865 in words is "one hundred thirty-two trillion, seven hundred seventy-two billion, four million, seven hundred two thousand, eight hundred sixty-five".