137072583 has 12 divisors (see below), whose sum is σ = 198107208. Its totient is φ = 91329360.

The previous prime is 137072569. The next prime is 137072597. The reversal of 137072583 is 385270731.

137072583 is a `hidden beast` number, since 1 + 3 + 7 + 0 + 72 + 583 = 666.

It is an interprime number because it is at equal distance from previous prime (137072569) and next prime (137072597).

It is not a de Polignac number, because 137072583 - 2¹² = 137068487 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137072983) 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, 18541 + ... + 24857.

It is an arithmetic number, because the mean of its divisors is an integer number (16508934).

Almost surely, 2^137072583 is an apocalyptic number.

137072583 is a deficient number, since it is larger than the sum of its proper divisors (61034625).

137072583 is a wasteful number, since it uses less digits than its factorization.

137072583 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8734 (or 8731 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 137072583 is about 11707.8000922462. The cubic root of 137072583 is about 515.6046976910.

It can be divided in two parts, 13707 and 2583, that added together give a triangular number (16290 = T₁₈₀).

The spelling of 137072583 in words is "one hundred thirty-seven million, seventy-two thousand, five hundred eighty-three".