137306007 has 24 divisors (see below), whose sum is σ = 204706320. Its totient is φ = 88629120.

The previous prime is 137306003. The next prime is 137306041. The reversal of 137306007 is 700603731.

It is not a de Polignac number, because 137306007 - 2² = 137306003 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137306003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49953 + ... + 52629.

It is an arithmetic number, because the mean of its divisors is an integer number (8529430).

Almost surely, 2^137306007 is an apocalyptic number.

137306007 is a deficient number, since it is larger than the sum of its proper divisors (67400313).

137306007 is a wasteful number, since it uses less digits than its factorization.

137306007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2863 (or 2860 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 27.

The square root of 137306007 is about 11717.7645905693. The cubic root of 137306007 is about 515.8972100100.

Adding to 137306007 its reverse (700603731), we get a palindrome (837909738).

The spelling of 137306007 in words is "one hundred thirty-seven million, three hundred six thousand, seven".