15133354214000 has 480 divisors, whose sum is σ = 41171349525696. Its totient is φ = 5334201600000.

The previous prime is 15133354213921. The next prime is 15133354214047. The reversal of 15133354214000 is 41245333151.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6765020882 + ... + 6765023118.

Almost surely, 2^{15133354214000} is an apocalyptic number.

15133354214000 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 15133354214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20585674762848).

15133354214000 is an abundant number, since it is smaller than the sum of its proper divisors (26037995311696).

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

15133354214000 is a wasteful number, since it uses less digits than its factorization.

15133354214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2474 (or 2387 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

Adding to 15133354214000 its reverse (41245333151), we get a palindrome (15174599547151).

The spelling of 15133354214000 in words is "fifteen trillion, one hundred thirty-three billion, three hundred fifty-four million, two hundred fourteen thousand".