137624776472013 has 16 divisors (see below), whose sum is σ = 194296525418880. Its totient is φ = 86351590550016.

The previous prime is 137624776472003. The next prime is 137624776472021. The reversal of 137624776472013 is 310274677426731.

It is not a de Polignac number, because 137624776472013 - 2⁴ = 137624776471997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137624776472003) 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 15 ways as a sum of consecutive naturals, for example, 15230920 + ... + 22521777.

It is an arithmetic number, because the mean of its divisors is an integer number (12143532838680).

Almost surely, 2^{137624776472013} is an apocalyptic number.

It is an amenable number.

137624776472013 is a deficient number, since it is larger than the sum of its proper divisors (56671748946867).

137624776472013 is a wasteful number, since it uses less digits than its factorization.

137624776472013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37824196.

The product of its (nonzero) digits is 49787136, while the sum is 60.

The spelling of 137624776472013 in words is "one hundred thirty-seven trillion, six hundred twenty-four billion, seven hundred seventy-six million, four hundred seventy-two thousand, thirteen".