133254245110400 has 384 divisors, whose sum is σ = 354917503617600. Its totient is φ = 49272717312000.

The previous prime is 133254245110373. The next prime is 133254245110411. The reversal of 133254245110400 is 4011542452331.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2669277440 + ... + 2669327360.

Almost surely, 2^{133254245110400} is an apocalyptic number.

133254245110400 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 133254245110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177458751808800).

133254245110400 is an abundant number, since it is smaller than the sum of its proper divisors (221663258507200).

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

133254245110400 is a wasteful number, since it uses less digits than its factorization.

133254245110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51028 (or 51011 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

Adding to 133254245110400 its reverse (4011542452331), we get a palindrome (137265787562731).

The spelling of 133254245110400 in words is "one hundred thirty-three trillion, two hundred fifty-four billion, two hundred forty-five million, one hundred ten thousand, four hundred".