153825000 has 192 divisors, whose sum is σ = 551214720. Its totient is φ = 35040000.

The previous prime is 153824963. The next prime is 153825013. The reversal of 153825000 is 528351.

153825000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 524854 + ... + 525146.

It is an arithmetic number, because the mean of its divisors is an integer number (2870910).

Almost surely, 2^153825000 is an apocalyptic number.

153825000 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 153825000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275607360).

153825000 is an abundant number, since it is smaller than the sum of its proper divisors (397389720).

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

153825000 is an equidigital number, since it uses as much as digits as its factorization.

153825000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 153825000 is about 12402.6206908056. The cubic root of 153825000 is about 535.8077297315.

The spelling of 153825000 in words is "one hundred fifty-three million, eight hundred twenty-five thousand".