153301226400 has 2304 divisors, whose sum is σ = 732553113600. Its totient is φ = 30098718720.

The previous prime is 153301226371. The next prime is 153301226401. The reversal of 153301226400 is 4622103351.

153301226400 is a `hidden beast` number, since 1 + 5 + 3 + 3 + 0 + 12 + 2 + 640 + 0 = 666.

153301226400 is digitally balanced in base 3, 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 (27).

It is not an unprimeable number, because it can be changed into a prime (153301226401) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2100016764 + ... + 2100016836.

It is an arithmetic number, because the mean of its divisors is an integer number (317948400).

Almost surely, 2^153301226400 is an apocalyptic number.

153301226400 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 153301226400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366276556800).

153301226400 is an abundant number, since it is smaller than the sum of its proper divisors (579251887200).

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

153301226400 is a wasteful number, since it uses less digits than its factorization.

153301226400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 153301226400 its reverse (4622103351), we get a palindrome (157923329751).

The spelling of 153301226400 in words is "one hundred fifty-three billion, three hundred one million, two hundred twenty-six thousand, four hundred".