137428824731 has 12 divisors (see below), whose sum is σ = 151074305256. Its totient is φ = 124921917120.

The previous prime is 137428824671. The next prime is 137428824737.

137428824731 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-137428824731 is a prime.

It is a super-2 number, since 2×137428824731² (a number of 23 digits) contains 22 as substring.

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 137428824731.

It is not an unprimeable number, because it can be changed into a prime (137428824737) 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, 1177640 + ... + 1289066.

It is an arithmetic number, because the mean of its divisors is an integer number (12589525438).

Almost surely, 2^137428824731 is an apocalyptic number.

137428824731 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

137428824731 is a deficient number, since it is larger than the sum of its proper divisors (13645480525).

137428824731 is a wasteful number, since it uses less digits than its factorization.

137428824731 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121642 (or 121631 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 50.

The spelling of 137428824731 in words is "one hundred thirty-seven billion, four hundred twenty-eight million, eight hundred twenty-four thousand, seven hundred thirty-one".