150333145402400 has 432 divisors, whose sum is σ = 387062596720800. Its totient is φ = 56997704171520.

The previous prime is 150333145402399. The next prime is 150333145402411. The reversal of 150333145402400 is 4204541333051.

150333145402400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35050859456 + ... + 35050863744.

It is an arithmetic number, because the mean of its divisors is an integer number (895978233150).

Almost surely, 2^{150333145402400} is an apocalyptic number.

150333145402400 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 150333145402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193531298360400).

150333145402400 is an abundant number, since it is smaller than the sum of its proper divisors (236729451318400).

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

150333145402400 is a wasteful number, since it uses less digits than its factorization.

150333145402400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5309 (or 5267 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

Adding to 150333145402400 its reverse (4204541333051), we get a palindrome (154537686735451).

The spelling of 150333145402400 in words is "one hundred fifty trillion, three hundred thirty-three billion, one hundred forty-five million, four hundred two thousand, four hundred".