137009833 has 12 divisors (see below), whose sum is σ = 143390988. Its totient is φ = 130894400.

The previous prime is 137009809. The next prime is 137009867. The reversal of 137009833 is 338900731.

It can be written as a sum of positive squares in 6 ways, for example, as 18896409 + 118113424 = 4347^2 + 10868^2 .

It is not a de Polignac number, because 137009833 - 2²¹ = 134912681 is a prime.

It is a super-3 number, since 3×137009833³ (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137009333) 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, 84135 + ... + 85747.

It is an arithmetic number, because the mean of its divisors is an integer number (11949249).

Almost surely, 2^137009833 is an apocalyptic number.

It is an amenable number.

137009833 is a deficient number, since it is larger than the sum of its proper divisors (6381155).

137009833 is a wasteful number, since it uses less digits than its factorization.

137009833 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1772 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 34.

The square root of 137009833 is about 11705.1199481253. The cubic root of 137009833 is about 515.5260066977.

The spelling of 137009833 in words is "one hundred thirty-seven million, nine thousand, eight hundred thirty-three".