137000019 has 12 divisors (see below), whose sum is σ = 197799576. Its totient is φ = 84307392.

The previous prime is 137000009. The next prime is 137000027. The reversal of 137000019 is 910000731.

It is not a de Polignac number, because 137000019 - 2⁹ = 136999507 is a prime.

It is a super-2 number, since 2×137000019² = 37538010412000722, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 136999959 and 137000004.

It is not an unprimeable number, because it can be changed into a prime (137000009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 134602 + ... + 135615.

It is an arithmetic number, because the mean of its divisors is an integer number (16483298).

Almost surely, 2^137000019 is an apocalyptic number.

137000019 is a deficient number, since it is larger than the sum of its proper divisors (60799557).

137000019 is a wasteful number, since it uses less digits than its factorization.

137000019 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270246 (or 270233 counting only the distinct ones).

The product of its (nonzero) digits is 189, while the sum is 21.

The square root of 137000019 is about 11704.7007223594. The cubic root of 137000019 is about 515.5136973791.

The spelling of 137000019 in words is "one hundred thirty-seven million, nineteen", and thus it is an aban number.