137922 has 16 divisors (see below), whose sum is σ = 279552. Its totient is φ = 45360.

The previous prime is 137911. The next prime is 137927. The reversal of 137922 is 229731.

Added to its reverse (229731) it gives a triangular number (367653 = T₈₅₇).

It is a junction number, because it is equal to n+sod(n) for n = 137892 and 137901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137927) by changing a digit.

137922 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 7 ways as a sum of consecutive naturals, for example, 672 + ... + 852.

It is an arithmetic number, because the mean of its divisors is an integer number (17472).

2¹³⁷⁹²² is an apocalyptic number.

137922 is an abundant number, since it is smaller than the sum of its proper divisors (141630).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137922 is a wasteful number, since it uses less digits than its factorization.

137922 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313.

The product of its digits is 756, while the sum is 24.

The square root of 137922 is about 371.3785131103. The cubic root of 137922 is about 51.6667545379. Note that the first 3 decimals are identical.

Adding to 137922 its reverse (229731), we get a triangular number (367653 = T₈₅₇).

Subtracting 137922 from its reverse (229731), we obtain a square (91809 = 303²).

The spelling of 137922 in words is "one hundred thirty-seven thousand, nine hundred twenty-two".