137509145 has 8 divisors (see below), whose sum is σ = 165110400. Its totient is φ = 109941040.

The previous prime is 137509133. The next prime is 137509147. The reversal of 137509145 is 541905731.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 137509145 - 2⁴ = 137509129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137509147) 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 7 ways as a sum of consecutive naturals, for example, 2006 + ... + 16704.

It is an arithmetic number, because the mean of its divisors is an integer number (20638800).

Almost surely, 2^137509145 is an apocalyptic number.

It is an amenable number.

137509145 is a deficient number, since it is larger than the sum of its proper divisors (27601255).

137509145 is a wasteful number, since it uses less digits than its factorization.

137509145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16575.

The product of its (nonzero) digits is 18900, while the sum is 35.

The square root of 137509145 is about 11726.4293371853. The cubic root of 137509145 is about 516.1515001432.

The spelling of 137509145 in words is "one hundred thirty-seven million, five hundred nine thousand, one hundred forty-five".