153552 has 40 divisors (see below), whose sum is σ = 454336. Its totient is φ = 43776.

The previous prime is 153533. The next prime is 153557. The reversal of 153552 is 255351.

153552 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 (21).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153557) 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, 108 + ... + 564.

2¹⁵³⁵⁵² is an apocalyptic number.

153552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227168).

153552 is an abundant number, since it is smaller than the sum of its proper divisors (300784).

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

153552 is a wasteful number, since it uses less digits than its factorization.

153552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 469 counting only the distinct ones).

The product of its digits is 750, while the sum is 21.

The square root of 153552 is about 391.8571168168. The cubic root of 153552 is about 53.5490568175.

The spelling of 153552 in words is "one hundred fifty-three thousand, five hundred fifty-two".