137257520511 has 32 divisors (see below), whose sum is σ = 187491041280. Its totient is φ = 89296107264.

The previous prime is 137257520497. The next prime is 137257520531. The reversal of 137257520511 is 115025752731.

It is a happy number.

It is not a de Polignac number, because 137257520511 - 2²¹ = 137255423359 is a prime.

It is a super-2 number, since 2×137257520511² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 137257520511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137257520531) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8209186 + ... + 8225888.

It is an arithmetic number, because the mean of its divisors is an integer number (5859095040).

Almost surely, 2^137257520511 is an apocalyptic number.

137257520511 is a deficient number, since it is larger than the sum of its proper divisors (50233520769).

137257520511 is a wasteful number, since it uses less digits than its factorization.

137257520511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17175.

The product of its (nonzero) digits is 73500, while the sum is 39.

The spelling of 137257520511 in words is "one hundred thirty-seven billion, two hundred fifty-seven million, five hundred twenty thousand, five hundred eleven".