137584073 has 16 divisors (see below), whose sum is σ = 158907840. Its totient is φ = 117806400.

The previous prime is 137584021. The next prime is 137584079. The reversal of 137584073 is 370485731.

137584073 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 137584073 - 2¹² = 137579977 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (137584079) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36011 + ... + 39647.

It is an arithmetic number, because the mean of its divisors is an integer number (9931740).

Almost surely, 2^137584073 is an apocalyptic number.

It is an amenable number.

137584073 is a deficient number, since it is larger than the sum of its proper divisors (21323767).

137584073 is a wasteful number, since it uses less digits than its factorization.

137584073 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3848.

The product of its (nonzero) digits is 70560, while the sum is 38.

The square root of 137584073 is about 11729.6237365058. The cubic root of 137584073 is about 516.2452325207.

The spelling of 137584073 in words is "one hundred thirty-seven million, five hundred eighty-four thousand, seventy-three".