153468000 has 576 divisors, whose sum is σ = 672235200. Its totient is φ = 33868800.

The previous prime is 153467999. The next prime is 153468017. The reversal of 153468000 is 864351.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5291986 + ... + 5292014.

It is an arithmetic number, because the mean of its divisors is an integer number (1167075).

Almost surely, 2^153468000 is an apocalyptic number.

153468000 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 153468000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336117600).

153468000 is an abundant number, since it is smaller than the sum of its proper divisors (518767200).

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

153468000 is a wasteful number, since it uses less digits than its factorization.

153468000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 46 counting only the distinct ones).

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

The square root of 153468000 is about 12388.2202111522. The cubic root of 153468000 is about 535.3929043810.

The spelling of 153468000 in words is "one hundred fifty-three million, four hundred sixty-eight thousand".