153142440 has 192 divisors, whose sum is σ = 517104000. Its totient is φ = 36241920.

The previous prime is 153142439. The next prime is 153142447. The reversal of 153142440 is 44241351.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 153142440.

It is not an unprimeable number, because it can be changed into a prime (153142447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 769461 + ... + 769659.

It is an arithmetic number, because the mean of its divisors is an integer number (2693250).

Almost surely, 2^153142440 is an apocalyptic number.

153142440 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 153142440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258552000).

153142440 is an abundant number, since it is smaller than the sum of its proper divisors (363961560).

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

153142440 is a wasteful number, since it uses less digits than its factorization.

153142440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 153142440 is about 12375.0733331161. The cubic root of 153142440 is about 535.0140503487.

Adding to 153142440 its reverse (44241351), we get a palindrome (197383791).

The spelling of 153142440 in words is "one hundred fifty-three million, one hundred forty-two thousand, four hundred forty".