137513129 has 8 divisors (see below), whose sum is σ = 150601920. Its totient is φ = 124783056.

The previous prime is 137513087. The next prime is 137513141. The reversal of 137513129 is 921315731.

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 137513129 - 2⁸ = 137512873 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 137513095 and 137513104.

It is not an unprimeable number, because it can be changed into a prime (137513149) 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, 88877 + ... + 90410.

It is an arithmetic number, because the mean of its divisors is an integer number (18825240).

Almost surely, 2^137513129 is an apocalyptic number.

It is an amenable number.

137513129 is a deficient number, since it is larger than the sum of its proper divisors (13088791).

137513129 is a wasteful number, since it uses less digits than its factorization.

137513129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179359.

The product of its digits is 5670, while the sum is 32.

The square root of 137513129 is about 11726.5992086367. The cubic root of 137513129 is about 516.1564848485.

The spelling of 137513129 in words is "one hundred thirty-seven million, five hundred thirteen thousand, one hundred twenty-nine".