137802097 has 8 divisors (see below), whose sum is σ = 141734376. Its totient is φ = 133880832.

The previous prime is 137802089. The next prime is 137802103. The reversal of 137802097 is 790208731.

It can be written as a sum of positive squares in 4 ways, for example, as 84934656 + 52867441 = 9216^2 + 7271^2 .

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 137802097 - 2³ = 137802089 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137802397) 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 7 ways as a sum of consecutive naturals, for example, 27153 + ... + 31825.

It is an arithmetic number, because the mean of its divisors is an integer number (17716797).

Almost surely, 2^137802097 is an apocalyptic number.

It is an amenable number.

137802097 is a deficient number, since it is larger than the sum of its proper divisors (3932279).

137802097 is an equidigital number, since it uses as much as digits as its factorization.

137802097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5507.

The product of its (nonzero) digits is 21168, while the sum is 37.

The square root of 137802097 is about 11738.9137913182. The cubic root of 137802097 is about 516.5177796918.

The spelling of 137802097 in words is "one hundred thirty-seven million, eight hundred two thousand, ninety-seven".