137438133021 has 32 divisors (see below), whose sum is σ = 233999539200. Its totient is φ = 78097307760.

The previous prime is 137438133017. The next prime is 137438133061. The reversal of 137438133021 is 120331834731.

It is not a de Polignac number, because 137438133021 - 2² = 137438133017 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137438133061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1997415 + ... + 2065076.

It is an arithmetic number, because the mean of its divisors is an integer number (7312485600).

Almost surely, 2^137438133021 is an apocalyptic number.

It is an amenable number.

137438133021 is a deficient number, since it is larger than the sum of its proper divisors (96561406179).

137438133021 is a wasteful number, since it uses less digits than its factorization.

137438133021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4062686 (or 4062680 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Adding to 137438133021 its reverse (120331834731), we get a palindrome (257769967752).

The spelling of 137438133021 in words is "one hundred thirty-seven billion, four hundred thirty-eight million, one hundred thirty-three thousand, twenty-one".