153282240 has 224 divisors, whose sum is σ = 549005760. Its totient is φ = 40255488.

The previous prime is 153282223. The next prime is 153282247. The reversal of 153282240 is 42282351.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (153282247) 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, 976242 + ... + 976398.

Almost surely, 2^153282240 is an apocalyptic number.

153282240 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 153282240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274502880).

153282240 is an abundant number, since it is smaller than the sum of its proper divisors (395723520).

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

153282240 is a wasteful number, since it uses less digits than its factorization.

153282240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 153282240 is about 12380.7204959970. The cubic root of 153282240 is about 535.1768012627.

The spelling of 153282240 in words is "one hundred fifty-three million, two hundred eighty-two thousand, two hundred forty".