137264642001 has 12 divisors (see below), whose sum is σ = 199417227828. Its totient is φ = 90980802144.

The previous prime is 137264641967. The next prime is 137264642003. The reversal of 137264642001 is 100246462731.

137264642001 is a `hidden beast` number, since 1 + 3 + 7 + 2 + 6 + 4 + 642 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 93269160000 + 43995482001 = 305400^2 + 209751^2 .

It is not a de Polignac number, because 137264642001 - 2⁶ = 137264641937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137264642003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44078290 + ... + 44081403.

It is an arithmetic number, because the mean of its divisors is an integer number (16618102319).

Almost surely, 2^137264642001 is an apocalyptic number.

It is an amenable number.

137264642001 is a deficient number, since it is larger than the sum of its proper divisors (62152585827).

137264642001 is a wasteful number, since it uses less digits than its factorization.

137264642001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88159872 (or 88159869 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 137264642001 in words is "one hundred thirty-seven billion, two hundred sixty-four million, six hundred forty-two thousand, one".