137702397 has 24 divisors (see below), whose sum is σ = 226146816. Its totient is φ = 74057088.

The previous prime is 137702393. The next prime is 137702407. The reversal of 137702397 is 793207731.

It is not a de Polignac number, because 137702397 - 2² = 137702393 is a prime.

It is a super-3 number, since 3×137702397³ (a number of 25 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137702393) 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, 25053 + ... + 30050.

It is an arithmetic number, because the mean of its divisors is an integer number (9422784).

Almost surely, 2^137702397 is an apocalyptic number.

137702397 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

137702397 is a deficient number, since it is larger than the sum of its proper divisors (88444419).

137702397 is a wasteful number, since it uses less digits than its factorization.

137702397 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55137 (or 55130 counting only the distinct ones).

The product of its (nonzero) digits is 55566, while the sum is 39.

The square root of 137702397 is about 11734.6664630913. Note that the first 3 decimals coincide. The cubic root of 137702397 is about 516.3931825386.

The spelling of 137702397 in words is "one hundred thirty-seven million, seven hundred two thousand, three hundred ninety-seven".