137275572731 has 8 divisors (see below), whose sum is σ = 154919142000. Its totient is φ = 120492665440.

The previous prime is 137275572653. The next prime is 137275572769.

137275572731 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-137275572731 is a prime.

It is a super-3 number, since 3×137275572731³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 137275572731.

It is not an unprimeable number, because it can be changed into a prime (137275572131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 215165156 + ... + 215165793.

It is an arithmetic number, because the mean of its divisors is an integer number (19364892750).

Almost surely, 2^137275572731 is an apocalyptic number.

137275572731 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

137275572731 is a deficient number, since it is larger than the sum of its proper divisors (17643569269).

137275572731 is a wasteful number, since it uses less digits than its factorization.

137275572731 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430330989.

The product of its digits is 2160900, while the sum is 50.

The spelling of 137275572731 in words is "one hundred thirty-seven billion, two hundred seventy-five million, five hundred seventy-two thousand, seven hundred thirty-one".