137227129 has 8 divisors (see below), whose sum is σ = 147994952. Its totient is φ = 126489600.

The previous prime is 137227121. The next prime is 137227151. The reversal of 137227129 is 921722731.

It can be written as a sum of positive squares in 4 ways, for example, as 84272400 + 52954729 = 9180^2 + 7277^2 .

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 137227129 - 2³ = 137227121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 137227094 and 137227103.

It is not an unprimeable number, because it can be changed into a prime (137227121) 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, 2329 + ... + 16729.

It is an arithmetic number, because the mean of its divisors is an integer number (18499369).

Almost surely, 2^137227129 is an apocalyptic number.

It is an amenable number.

137227129 is a deficient number, since it is larger than the sum of its proper divisors (10767823).

137227129 is a wasteful number, since it uses less digits than its factorization.

137227129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15147.

The product of its digits is 10584, while the sum is 34.

The square root of 137227129 is about 11714.3983626988. The cubic root of 137227129 is about 515.7984021579.

The spelling of 137227129 in words is "one hundred thirty-seven million, two hundred twenty-seven thousand, one hundred twenty-nine".