153855240 has 128 divisors (see below), whose sum is σ = 575493120. Its totient is φ = 31968000.

The previous prime is 153855223. The next prime is 153855241. The reversal of 153855240 is 42558351.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (153855241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 915 + ... + 17565.

It is an arithmetic number, because the mean of its divisors is an integer number (4496040).

Almost surely, 2^153855240 is an apocalyptic number.

153855240 is a gapful number since it is divisible by the number (10) 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 153855240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287746560).

153855240 is an abundant number, since it is smaller than the sum of its proper divisors (421637880).

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

153855240 is a wasteful number, since it uses less digits than its factorization.

153855240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16683 (or 16679 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The square root of 153855240 is about 12403.8397280842. The cubic root of 153855240 is about 535.8428383811.

The spelling of 153855240 in words is "one hundred fifty-three million, eight hundred fifty-five thousand, two hundred forty".