153468 has 72 divisors (see below), whose sum is σ = 478800. Its totient is φ = 42336.

The previous prime is 153457. The next prime is 153469. The reversal of 153468 is 864351.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5278 + ... + 5306.

It is an arithmetic number, because the mean of its divisors is an integer number (6650).

2¹⁵³⁴⁶⁸ is an apocalyptic number.

153468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239400).

153468 is an abundant number, since it is smaller than the sum of its proper divisors (325332).

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

153468 is a wasteful number, since it uses less digits than its factorization.

153468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 41 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 153468 is about 391.7499202297. The cubic root of 153468 is about 53.5392904381.

The spelling of 153468 in words is "one hundred fifty-three thousand, four hundred sixty-eight".