153864000 has 168 divisors, whose sum is σ = 550654728. Its totient is φ = 41011200.

The previous prime is 153863999. The next prime is 153864023. The reversal of 153864000 is 468351.

153864000 is a `hidden beast` number, since 15 + 3 + 8 + 640 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 35141184 + 118722816 = 5928^2 + 10896^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70932 + ... + 73068.

Almost surely, 2^153864000 is an apocalyptic number.

153864000 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 153864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275327364).

153864000 is an abundant number, since it is smaller than the sum of its proper divisors (396790728).

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

153864000 is a wasteful number, since it uses less digits than its factorization.

153864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2170 (or 2147 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 153864000 is about 12404.1928395200. The cubic root of 153864000 is about 535.8530078846.

The spelling of 153864000 in words is "one hundred fifty-three million, eight hundred sixty-four thousand".