153540 has 36 divisors (see below), whose sum is σ = 466284. Its totient is φ = 40896.

The previous prime is 153533. The next prime is 153557. The reversal of 153540 is 45351.

153540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 28224 + 125316 = 168^2 + 354^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 247 + ... + 606.

2¹⁵³⁵⁴⁰ is an apocalyptic number.

153540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153540 is an abundant number, since it is smaller than the sum of its proper divisors (312744).

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

153540 is a wasteful number, since it uses less digits than its factorization.

153540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 153540 is about 391.8418048141. The cubic root of 153540 is about 53.5476618385.

Adding to 153540 its reverse (45351), we get a palindrome (198891).

The spelling of 153540 in words is "one hundred fifty-three thousand, five hundred forty".