165692142 has 160 divisors (see below), whose sum is σ = 476720640. Its totient is φ = 41757120.

The previous prime is 165692129. The next prime is 165692147. The reversal of 165692142 is 241296561.

It is a junction number, because it is equal to n+sod(n) for n = 165692097 and 165692106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165692147) 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 79 ways as a sum of consecutive naturals, for example, 461359 + ... + 461717.

It is an arithmetic number, because the mean of its divisors is an integer number (2979504).

Almost surely, 2^165692142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165692142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238360320).

165692142 is an abundant number, since it is smaller than the sum of its proper divisors (311028498).

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

165692142 is a wasteful number, since it uses less digits than its factorization.

165692142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 419 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 165692142 is about 12872.1459749336. The cubic root of 165692142 is about 549.2465075911.

The spelling of 165692142 in words is "one hundred sixty-five million, six hundred ninety-two thousand, one hundred forty-two".