154968 has 32 divisors (see below), whose sum is σ = 423360. Its totient is φ = 46880.

The previous prime is 154943. The next prime is 154981. The reversal of 154968 is 869451.

154968 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 (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30 + ... + 557.

It is an arithmetic number, because the mean of its divisors is an integer number (13230).

2¹⁵⁴⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 154968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211680).

154968 is an abundant number, since it is smaller than the sum of its proper divisors (268392).

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

154968 is a wasteful number, since it uses less digits than its factorization.

154968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 603 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The square root of 154968 is about 393.6597515622. The cubic root of 154968 is about 53.7131566513.

The spelling of 154968 in words is "one hundred fifty-four thousand, nine hundred sixty-eight".