137548129 has 8 divisors (see below), whose sum is σ = 141526440. Its totient is φ = 133583616.

The previous prime is 137548123. The next prime is 137548141. The reversal of 137548129 is 921845731.

It can be written as a sum of positive squares in 4 ways, for example, as 41899729 + 95648400 = 6473^2 + 9780^2 .

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

It is not a de Polignac number, because 137548129 - 2⁵ = 137548097 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 137548091 and 137548100.

It is not an unprimeable number, because it can be changed into a prime (137548123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18807 + ... + 25075.

It is an arithmetic number, because the mean of its divisors is an integer number (17690805).

Almost surely, 2^137548129 is an apocalyptic number.

It is an amenable number.

137548129 is a deficient number, since it is larger than the sum of its proper divisors (3978311).

137548129 is an equidigital number, since it uses as much as digits as its factorization.

137548129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6899.

The product of its digits is 60480, while the sum is 40.

The square root of 137548129 is about 11728.0914474607. The cubic root of 137548129 is about 516.2002720482.

The spelling of 137548129 in words is "one hundred thirty-seven million, five hundred forty-eight thousand, one hundred twenty-nine".