153456 has 40 divisors (see below), whose sum is σ = 416640. Its totient is φ = 48576.

The previous prime is 153449. The next prime is 153457. The reversal of 153456 is 654351.

153456 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 (24).

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 153456.

It is not an unprimeable number, because it can be changed into a prime (153457) 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, 1035 + ... + 1173.

It is an arithmetic number, because the mean of its divisors is an integer number (10416).

2¹⁵³⁴⁵⁶ is an apocalyptic number.

153456 is a gapful number since it is divisible by the number (16) 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 153456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208320).

153456 is an abundant number, since it is smaller than the sum of its proper divisors (263184).

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

153456 is a wasteful number, since it uses less digits than its factorization.

153456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 167 counting only the distinct ones).

The product of its digits is 1800, while the sum is 24.

The square root of 153456 is about 391.7346040370. The cubic root of 153456 is about 53.5378949502.

It can be divided in two parts, 15345 and 6, that added together give a palindrome (15351).

The spelling of 153456 in words is "one hundred fifty-three thousand, four hundred fifty-six".