153420 has 24 divisors (see below), whose sum is σ = 429744. Its totient is φ = 40896.

The previous prime is 153409. The next prime is 153421. The reversal of 153420 is 24351.

153420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 153420.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 153420.

It is not an unprimeable number, because it can be changed into a prime (153421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1219 + ... + 1338.

It is an arithmetic number, because the mean of its divisors is an integer number (17906).

2¹⁵³⁴²⁰ is an apocalyptic number.

153420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153420 is an abundant number, since it is smaller than the sum of its proper divisors (276324).

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

153420 is a wasteful number, since it uses less digits than its factorization.

153420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2569 (or 2567 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 153420 is about 391.6886518652. The cubic root of 153420 is about 53.5337080498.

Adding to 153420 its reverse (24351), we get a palindrome (177771).

The spelling of 153420 in words is "one hundred fifty-three thousand, four hundred twenty".