137588641 has 2 divisors, whose sum is σ = 137588642. Its totient is φ = 137588640.

The previous prime is 137588639. The next prime is 137588653. The reversal of 137588641 is 146885731.

137588641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 114404416 + 23184225 = 10696^2 + 4815^2 .

It is a cyclic number.

It is not a de Polignac number, because 137588641 - 2¹ = 137588639 is a prime.

Together with 137588639, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (137588621) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68794320 + 68794321.

It is an arithmetic number, because the mean of its divisors is an integer number (68794321).

Almost surely, 2^137588641 is an apocalyptic number.

It is an amenable number.

137588641 is a deficient number, since it is larger than the sum of its proper divisors (1).

137588641 is an equidigital number, since it uses as much as digits as its factorization.

137588641 is an evil number, because the sum of its binary digits is even.

The product of its digits is 161280, while the sum is 43.

The square root of 137588641 is about 11729.8184555431. The cubic root of 137588641 is about 516.2509458325.

The spelling of 137588641 in words is "one hundred thirty-seven million, five hundred eighty-eight thousand, six hundred forty-one".