153342 has 24 divisors (see below), whose sum is σ = 380016. Its totient is φ = 43776.

The previous prime is 153337. The next prime is 153343. The reversal of 153342 is 243351.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 153342.

It is not an unprimeable number, because it can be changed into a prime (153343) by changing a digit.

153342 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 483 + ... + 734.

It is an arithmetic number, because the mean of its divisors is an integer number (15834).

2¹⁵³³⁴² is an apocalyptic number.

153342 is an abundant number, since it is smaller than the sum of its proper divisors (226674).

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

153342 is a wasteful number, since it uses less digits than its factorization.

153342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232 (or 1229 counting only the distinct ones).

The product of its digits is 360, while the sum is 18.

The square root of 153342 is about 391.5890703276. The cubic root of 153342 is about 53.5246341848.

Adding to 153342 its reverse (243351), we get a palindrome (396693).

Subtracting 153342 from its reverse (243351), we obtain a palindrome (90009).

It can be divided in two parts, 153 and 342, that multiplied together give a triangular number (52326 = T₃₂₃).

The spelling of 153342 in words is "one hundred fifty-three thousand, three hundred forty-two".