137890 has 8 divisors (see below), whose sum is σ = 248220. Its totient is φ = 55152.

The previous prime is 137873. The next prime is 137909. The reversal of 137890 is 98731.

It can be written as a sum of positive squares in 2 ways, for example, as 130321 + 7569 = 361^2 + 87^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6885 + ... + 6904.

2¹³⁷⁸⁹⁰ is an apocalyptic number.

137890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137890 is a deficient number, since it is larger than the sum of its proper divisors (110330).

137890 is a wasteful number, since it uses less digits than its factorization.

137890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13796.

The product of its (nonzero) digits is 1512, while the sum is 28.

The square root of 137890 is about 371.3354278816. The cubic root of 137890 is about 51.6627584048.

The spelling of 137890 in words is "one hundred thirty-seven thousand, eight hundred ninety".