137628901 has 2 divisors, whose sum is σ = 137628902. Its totient is φ = 137628900.

The previous prime is 137628899. The next prime is 137628947. The reversal of 137628901 is 109826731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 126540001 + 11088900 = 11249^2 + 3330^2 .

It is a cyclic number.

It is not a de Polignac number, because 137628901 - 2¹ = 137628899 is a prime.

Together with 137628899, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137628971) 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 as a sum of consecutive naturals, namely, 68814450 + 68814451.

It is an arithmetic number, because the mean of its divisors is an integer number (68814451).

Almost surely, 2^137628901 is an apocalyptic number.

It is an amenable number.

137628901 is a deficient number, since it is larger than the sum of its proper divisors (1).

137628901 is an equidigital number, since it uses as much as digits as its factorization.

137628901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 137628901 is about 11731.5344691136. The cubic root of 137628901 is about 516.3012945532.

The spelling of 137628901 in words is "one hundred thirty-seven million, six hundred twenty-eight thousand, nine hundred one".