153243222132000 has 2304 divisors, whose sum is σ = 689279574896640. Its totient is φ = 28893376512000.

The previous prime is 153243222131977. The next prime is 153243222132001. The reversal of 153243222132000 is 231222342351.

It is a super-3 number, since 3×153243222132000³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (153243222132001) 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, 9213195684 + ... + 9213212316.

It is an arithmetic number, because the mean of its divisors is an integer number (299166482160).

Almost surely, 2^{153243222132000} is an apocalyptic number.

153243222132000 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 153243222132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344639787448320).

153243222132000 is an abundant number, since it is smaller than the sum of its proper divisors (536036352764640).

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

153243222132000 is a wasteful number, since it uses less digits than its factorization.

153243222132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16764 (or 16733 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 153243222132000 its reverse (231222342351), we get a palindrome (153474444474351).

The spelling of 153243222132000 in words is "one hundred fifty-three trillion, two hundred forty-three billion, two hundred twenty-two million, one hundred thirty-two thousand".