137048127 has 16 divisors (see below), whose sum is σ = 184304640. Its totient is φ = 90582912.

The previous prime is 137048123. The next prime is 137048137. The reversal of 137048127 is 721840731.

It is a happy number.

It is not a de Polignac number, because 137048127 - 2² = 137048123 is a prime.

It is a super-2 number, since 2×137048127² = 37564378228416258, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137048123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 285874 + ... + 286352.

It is an arithmetic number, because the mean of its divisors is an integer number (11519040).

Almost surely, 2^137048127 is an apocalyptic number.

137048127 is a deficient number, since it is larger than the sum of its proper divisors (47256513).

137048127 is a wasteful number, since it uses less digits than its factorization.

137048127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102.

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 137048127 is about 11706.7556137471. The cubic root of 137048127 is about 515.5740317518.

Adding to 137048127 its reverse (721840731), we get a palindrome (858888858).

The spelling of 137048127 in words is "one hundred thirty-seven million, forty-eight thousand, one hundred twenty-seven".