153768 has 32 divisors (see below), whose sum is σ = 396000. Its totient is φ = 49728.

The previous prime is 153763. The next prime is 153817. The reversal of 153768 is 867351.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 1 + 5⁵ + 7⁶ + 3² + 6³ + 8⁵ .

It is not an unprimeable number, because it can be changed into a prime (153763) by changing a digit.

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, 958 + ... + 1106.

It is an arithmetic number, because the mean of its divisors is an integer number (12375).

2¹⁵³⁷⁶⁸ 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 153768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198000).

153768 is an abundant number, since it is smaller than the sum of its proper divisors (242232).

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

153768 is a wasteful number, since it uses less digits than its factorization.

153768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 197 counting only the distinct ones).

The product of its digits is 5040, while the sum is 30.

The square root of 153768 is about 392.1326306239. The cubic root of 153768 is about 53.5741540201.

The spelling of 153768 in words is "one hundred fifty-three thousand, seven hundred sixty-eight".