153918 has 24 divisors (see below), whose sum is σ = 353808. Its totient is φ = 48192.

The previous prime is 153913. The next prime is 153929. The reversal of 153918 is 819351.

It is a junction number, because it is equal to n+sod(n) for n = 153891 and 153900.

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 153918.

It is not an unprimeable number, because it can be changed into a prime (153911) by changing a digit.

153918 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, 55 + ... + 557.

It is an arithmetic number, because the mean of its divisors is an integer number (14742).

2¹⁵³⁹¹⁸ is an apocalyptic number.

153918 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 153918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176904).

153918 is an abundant number, since it is smaller than the sum of its proper divisors (199890).

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

153918 is a wasteful number, since it uses less digits than its factorization.

153918 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 525 counting only the distinct ones).

The product of its digits is 1080, while the sum is 27.

The square root of 153918 is about 392.3238458213. The cubic root of 153918 is about 53.5915688083.

The spelling of 153918 in words is "one hundred fifty-three thousand, nine hundred eighteen".