137006397 has 40 divisors (see below), whose sum is σ = 235049760. Its totient is φ = 78654240.

The previous prime is 137006393. The next prime is 137006407. The reversal of 137006397 is 793600731.

137006397 is a `hidden beast` number, since 13 + 7 + 0 + 0 + 639 + 7 = 666.

It is not a de Polignac number, because 137006397 - 2² = 137006393 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137006393) 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 39 ways as a sum of consecutive naturals, for example, 12883 + ... + 20975.

It is an arithmetic number, because the mean of its divisors is an integer number (5876244).

Almost surely, 2^137006397 is an apocalyptic number.

It is an amenable number.

137006397 is a deficient number, since it is larger than the sum of its proper divisors (98043363).

137006397 is a wasteful number, since it uses less digits than its factorization.

137006397 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8135 (or 8126 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 36.

The square root of 137006397 is about 11704.9731738266. The cubic root of 137006397 is about 515.5216971234.

The spelling of 137006397 in words is "one hundred thirty-seven million, six thousand, three hundred ninety-seven".