153642 has 16 divisors (see below), whose sum is σ = 318240. Its totient is φ = 49392.

The previous prime is 153641. The next prime is 153649. The reversal of 153642 is 246351.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (153641) by changing a digit.

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, 268 + ... + 615.

It is an arithmetic number, because the mean of its divisors is an integer number (19890).

2¹⁵³⁶⁴² is an apocalyptic number.

153642 is an abundant number, since it is smaller than the sum of its proper divisors (164598).

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

153642 is a wasteful number, since it uses less digits than its factorization.

153642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917.

The product of its digits is 720, while the sum is 21.

The square root of 153642 is about 391.9719377711. The cubic root of 153642 is about 53.5595168437.

Adding to 153642 its reverse (246351), we get a palindrome (399993).

The spelling of 153642 in words is "one hundred fifty-three thousand, six hundred forty-two".