153868 has 24 divisors (see below), whose sum is σ = 317520. Its totient is φ = 64320.

The previous prime is 153841. The next prime is 153871. The reversal of 153868 is 868351.

It is a super-2 number, since 2×153868² = 47350722848, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 438 + ... + 706.

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

2¹⁵³⁸⁶⁸ is an apocalyptic number.

It is an amenable number.

153868 is an abundant number, since it is smaller than the sum of its proper divisors (163652).

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

153868 is a wasteful number, since it uses less digits than its factorization.

153868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 295 counting only the distinct ones).

The product of its digits is 5760, while the sum is 31.

The square root of 153868 is about 392.2601177790. The cubic root of 153868 is about 53.5857651365.

It can be divided in two parts, 15 and 3868, that added together give a palindrome (3883).

The spelling of 153868 in words is "one hundred fifty-three thousand, eight hundred sixty-eight".