137218273 has 8 divisors (see below), whose sum is σ = 138817800. Its totient is φ = 135625728.

The previous prime is 137218243. The next prime is 137218303. The reversal of 137218273 is 372812731.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (137218243) and next prime (137218303).

It can be written as a sum of positive squares in 4 ways, for example, as 258064 + 136960209 = 508^2 + 11703^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-137218273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137218223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44733 + ... + 47701.

It is an arithmetic number, because the mean of its divisors is an integer number (17352225).

Almost surely, 2^137218273 is an apocalyptic number.

It is an amenable number.

137218273 is a deficient number, since it is larger than the sum of its proper divisors (1599527).

137218273 is a wasteful number, since it uses less digits than its factorization.

137218273 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3491.

The product of its digits is 14112, while the sum is 34.

The square root of 137218273 is about 11714.0203602350. The cubic root of 137218273 is about 515.7873061767.

The spelling of 137218273 in words is "one hundred thirty-seven million, two hundred eighteen thousand, two hundred seventy-three".