137527729 has 2 divisors, whose sum is σ = 137527730. Its totient is φ = 137527728.

The previous prime is 137527727. The next prime is 137527769. The reversal of 137527729 is 927725731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 135094129 + 2433600 = 11623^2 + 1560^2 .

It is a cyclic number.

It is not a de Polignac number, because 137527729 - 2¹ = 137527727 is a prime.

Together with 137527727, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (137527721) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68763864 + 68763865.

It is an arithmetic number, because the mean of its divisors is an integer number (68763865).

Almost surely, 2^137527729 is an apocalyptic number.

It is an amenable number.

137527729 is a deficient number, since it is larger than the sum of its proper divisors (1).

137527729 is an equidigital number, since it uses as much as digits as its factorization.

137527729 is an evil number, because the sum of its binary digits is even.

The product of its digits is 185220, while the sum is 43.

The square root of 137527729 is about 11727.2217084866. The cubic root of 137527729 is about 516.1747512692.

The spelling of 137527729 in words is "one hundred thirty-seven million, five hundred twenty-seven thousand, seven hundred twenty-nine".