137749757 has 2 divisors, whose sum is σ = 137749758. Its totient is φ = 137749756.

The previous prime is 137749751. The next prime is 137749763. The reversal of 137749757 is 757947731.

It is a balanced prime because it is at equal distance from previous prime (137749751) and next prime (137749763).

It can be written as a sum of positive squares in only one way, i.e., 137686756 + 63001 = 11734^2 + 251^2 .

It is an emirp because it is prime and its reverse (757947731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137749757 - 2⁴ = 137749741 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137749751) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68874878 + 68874879.

It is an arithmetic number, because the mean of its divisors is an integer number (68874879).

Almost surely, 2^137749757 is an apocalyptic number.

It is an amenable number.

137749757 is a deficient number, since it is larger than the sum of its proper divisors (1).

137749757 is an equidigital number, since it uses as much as digits as its factorization.

137749757 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1296540, while the sum is 50.

The square root of 137749757 is about 11736.6842421529. The cubic root of 137749757 is about 516.4523768069.

The spelling of 137749757 in words is "one hundred thirty-seven million, seven hundred forty-nine thousand, seven hundred fifty-seven".