137384793 has 24 divisors (see below), whose sum is σ = 244241088. Its totient is φ = 72466272.

The previous prime is 137384771. The next prime is 137384831. The reversal of 137384793 is 397483731.

It is not a de Polignac number, because 137384793 - 2⁶ = 137384729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137384743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83055 + ... + 84692.

It is an arithmetic number, because the mean of its divisors is an integer number (10176712).

Almost surely, 2^137384793 is an apocalyptic number.

137384793 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

137384793 is a deficient number, since it is larger than the sum of its proper divisors (106856295).

137384793 is a wasteful number, since it uses less digits than its factorization.

137384793 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167773 (or 167770 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 137384793 is about 11721.1259271454. The cubic root of 137384793 is about 515.9958648488.

The spelling of 137384793 in words is "one hundred thirty-seven million, three hundred eighty-four thousand, seven hundred ninety-three".