137267202272017 has 16 divisors (see below), whose sum is σ = 137621955598848. Its totient is φ = 136912939113600.

The previous prime is 137267202271981. The next prime is 137267202272029. The reversal of 137267202272017 is 710272202762731.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-137267202272017 is a prime.

It is a super-2 number, since 2×137267202272017² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137267202272117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2861915478 + ... + 2861963440.

It is an arithmetic number, because the mean of its divisors is an integer number (8601372224928).

Almost surely, 2^{137267202272017} is an apocalyptic number.

It is an amenable number.

137267202272017 is a deficient number, since it is larger than the sum of its proper divisors (354753326831).

137267202272017 is a wasteful number, since it uses less digits than its factorization.

137267202272017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52920.

The product of its (nonzero) digits is 1382976, while the sum is 49.

The spelling of 137267202272017 in words is "one hundred thirty-seven trillion, two hundred sixty-seven billion, two hundred two million, two hundred seventy-two thousand, seventeen".