153888 has 48 divisors (see below), whose sum is σ = 463680. Its totient is φ = 43776.

The previous prime is 153887. The next prime is 153889. The reversal of 153888 is 888351.

It is an interprime number because it is at equal distance from previous prime (153887) and next prime (153889).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

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 153888.

It is not an unprimeable number, because it can be changed into a prime (153887) 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, 558 + ... + 786.

It is an arithmetic number, because the mean of its divisors is an integer number (9660).

2¹⁵³⁸⁸⁸ 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 153888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231840).

153888 is an abundant number, since it is smaller than the sum of its proper divisors (309792).

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

153888 is a wasteful number, since it uses less digits than its factorization.

153888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 241 counting only the distinct ones).

The product of its digits is 7680, while the sum is 33.

The square root of 153888 is about 392.2856102383. The cubic root of 153888 is about 53.5880867561.

The spelling of 153888 in words is "one hundred fifty-three thousand, eight hundred eighty-eight".