153125280 has 288 divisors, whose sum is σ = 651950208. Its totient is φ = 31795200.

The previous prime is 153125257. The next prime is 153125281. The reversal of 153125280 is 82521351.

It is a happy number.

153125280 is a `hidden beast` number, since 1 + 531 + 2 + 52 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (153125281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110190 + ... + 111570.

It is an arithmetic number, because the mean of its divisors is an integer number (2263716).

Almost surely, 2^153125280 is an apocalyptic number.

153125280 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 153125280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325975104).

153125280 is an abundant number, since it is smaller than the sum of its proper divisors (498824928).

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

153125280 is a wasteful number, since it uses less digits than its factorization.

153125280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 153125280 is about 12374.3799844679. The cubic root of 153125280 is about 534.9940663738.

It can be divided in two parts, 153125 and 280, that multiplied together give a cube (42875000 = 350³).

The spelling of 153125280 in words is "one hundred fifty-three million, one hundred twenty-five thousand, two hundred eighty".