137238351993 has 24 divisors (see below), whose sum is σ = 199276371840. Its totient is φ = 91011820320.

The previous prime is 137238351979. The next prime is 137238351997. The reversal of 137238351993 is 399153832731.

137238351993 is a `hidden beast` number, since 1 + 3 + 7 + 2 + 38 + 3 + 519 + 93 = 666.

It is not a de Polignac number, because 137238351993 - 2⁴ = 137238351977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137238351997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1524523 + ... + 1612031.

It is an arithmetic number, because the mean of its divisors is an integer number (8303182160).

Almost surely, 2^137238351993 is an apocalyptic number.

It is an amenable number.

137238351993 is a deficient number, since it is larger than the sum of its proper divisors (62038019847).

137238351993 is a wasteful number, since it uses less digits than its factorization.

137238351993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88429 (or 88426 counting only the distinct ones).

The product of its digits is 3674160, while the sum is 54.

The spelling of 137238351993 in words is "one hundred thirty-seven billion, two hundred thirty-eight million, three hundred fifty-one thousand, nine hundred ninety-three".