137629829 has 2 divisors, whose sum is σ = 137629830. Its totient is φ = 137629828.

The previous prime is 137629813. The next prime is 137629883. The reversal of 137629829 is 928926731.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 113912929 + 23716900 = 10673^2 + 4870^2 .

It is a cyclic number.

It is not a de Polignac number, because 137629829 - 2⁴ = 137629813 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137629729) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68814914 + 68814915.

It is an arithmetic number, because the mean of its divisors is an integer number (68814915).

Almost surely, 2^137629829 is an apocalyptic number.

It is an amenable number.

137629829 is a deficient number, since it is larger than the sum of its proper divisors (1).

137629829 is an equidigital number, since it uses as much as digits as its factorization.

137629829 is an evil number, because the sum of its binary digits is even.

The product of its digits is 326592, while the sum is 47.

The square root of 137629829 is about 11731.5740205652. The cubic root of 137629829 is about 516.3024549842.

The spelling of 137629829 in words is "one hundred thirty-seven million, six hundred twenty-nine thousand, eight hundred twenty-nine".