153381600 has 252 divisors, whose sum is σ = 563542056. Its totient is φ = 40746240.

The previous prime is 153381589. The next prime is 153381637. The reversal of 153381600 is 6183351.

153381600 is a `hidden beast` number, since 1 + 53 + 3 + 8 + 1 + 600 = 666.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 583069 + ... + 583331.

It is an arithmetic number, because the mean of its divisors is an integer number (2236278).

Almost surely, 2^153381600 is an apocalyptic number.

153381600 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 153381600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281771028).

153381600 is an abundant number, since it is smaller than the sum of its proper divisors (410160456).

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

153381600 is an equidigital number, since it uses as much as digits as its factorization.

153381600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 153381600 is about 12384.7325364741. The cubic root of 153381600 is about 535.2924130071.

The spelling of 153381600 in words is "one hundred fifty-three million, three hundred eighty-one thousand, six hundred".