132766085741256 has 144 divisors (see below), whose sum is σ = 413995482304560. Its totient is φ = 38114665680960.

The previous prime is 132766085741221. The next prime is 132766085741257. The reversal of 132766085741256 is 652147580667231.

132766085741256 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 6 + 6 + 0 + 8 + 574 + 1 + 2 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 132766085741193 and 132766085741202.

It is not an unprimeable number, because it can be changed into a prime (132766085741257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 231894070 + ... + 232465893.

It is an arithmetic number, because the mean of its divisors is an integer number (2874968627115).

Almost surely, 2^{132766085741256} is an apocalyptic number.

It is an amenable number.

132766085741256 is an abundant number, since it is smaller than the sum of its proper divisors (281229396563304).

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

132766085741256 is a wasteful number, since it uses less digits than its factorization.

132766085741256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464360024 (or 464359998 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 132766085741256 in words is "one hundred thirty-two trillion, seven hundred sixty-six billion, eighty-five million, seven hundred forty-one thousand, two hundred fifty-six".