137829661 has 2 divisors, whose sum is σ = 137829662. Its totient is φ = 137829660.

The previous prime is 137829647. The next prime is 137829677. The reversal of 137829661 is 166928731.

137829661 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., 136165561 + 1664100 = 11669^2 + 1290^2 .

It is a cyclic number.

It is not a de Polignac number, because 137829661 - 2⁷ = 137829533 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137829691) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68914830 + 68914831.

It is an arithmetic number, because the mean of its divisors is an integer number (68914831).

Almost surely, 2^137829661 is an apocalyptic number.

It is an amenable number.

137829661 is a deficient number, since it is larger than the sum of its proper divisors (1).

137829661 is an equidigital number, since it uses as much as digits as its factorization.

137829661 is an evil number, because the sum of its binary digits is even.

The product of its digits is 108864, while the sum is 43.

The square root of 137829661 is about 11740.0877765032. The cubic root of 137829661 is about 516.5522163882.

The spelling of 137829661 in words is "one hundred thirty-seven million, eight hundred twenty-nine thousand, six hundred sixty-one".