137761993313 has 32 divisors (see below), whose sum is σ = 169119175680. Its totient is φ = 109593000000.

The previous prime is 137761993267. The next prime is 137761993321. The reversal of 137761993313 is 313399167731.

It is a cyclic number.

It is not a de Polignac number, because 137761993313 - 2⁶ = 137761993249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137761993363) 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, 2002538 + ... + 2070188.

It is an arithmetic number, because the mean of its divisors is an integer number (5284974240).

Almost surely, 2^137761993313 is an apocalyptic number.

It is an amenable number.

137761993313 is a deficient number, since it is larger than the sum of its proper divisors (31357182367).

137761993313 is a wasteful number, since it uses less digits than its factorization.

137761993313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67989.

The product of its digits is 1928934, while the sum is 53.

The spelling of 137761993313 in words is "one hundred thirty-seven billion, seven hundred sixty-one million, nine hundred ninety-three thousand, three hundred thirteen".