137388097 has 16 divisors (see below), whose sum is σ = 174938112. Its totient is φ = 104775120.

The previous prime is 137388091. The next prime is 137388103. The reversal of 137388097 is 790883731.

It is a happy number.

It is a Cunningham number, because it is equal to 516³+1.

It is an interprime number because it is at equal distance from previous prime (137388091) and next prime (137388103).

It is a cyclic number.

It is not a de Polignac number, because 137388097 - 2⁷ = 137387969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137388091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15363 + ... + 22600.

It is an arithmetic number, because the mean of its divisors is an integer number (10933632).

Almost surely, 2^137388097 is an apocalyptic number.

It is an amenable number.

137388097 is a deficient number, since it is larger than the sum of its proper divisors (37550015).

137388097 is a wasteful number, since it uses less digits than its factorization.

137388097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38028.

The product of its (nonzero) digits is 254016, while the sum is 46.

The square root of 137388097 is about 11721.2668683893. The cubic root of 137388097 is about 516.0000012519. Note that the first 5 decimals are identical.

The spelling of 137388097 in words is "one hundred thirty-seven million, three hundred eighty-eight thousand, ninety-seven".