137329129 has 8 divisors (see below), whose sum is σ = 157084928. Its totient is φ = 117607680.

The previous prime is 137329103. The next prime is 137329141. The reversal of 137329129 is 921923731.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 137329129 - 2⁷ = 137329001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137320129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 649 + ... + 16585.

It is an arithmetic number, because the mean of its divisors is an integer number (19635616).

Almost surely, 2^137329129 is an apocalyptic number.

It is an amenable number.

137329129 is a deficient number, since it is larger than the sum of its proper divisors (19755799).

137329129 is a wasteful number, since it uses less digits than its factorization.

137329129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17175.

The product of its digits is 20412, while the sum is 37.

The square root of 137329129 is about 11718.7511706666. The cubic root of 137329129 is about 515.9261669994.

It can be divided in two parts, 137 and 329129, that added together give a triangular number (329266 = T₈₁₁).

The spelling of 137329129 in words is "one hundred thirty-seven million, three hundred twenty-nine thousand, one hundred twenty-nine".