133234151151552 has 448 divisors, whose sum is σ = 399228649344000. Its totient is φ = 38858224435200.

The previous prime is 133234151151499. The next prime is 133234151151557. The reversal of 133234151151552 is 255151151432331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133234151151557) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 22732321102 + ... + 22732326962.

It is an arithmetic number, because the mean of its divisors is an integer number (891135378000).

Almost surely, 2^{133234151151552} is an apocalyptic number.

133234151151552 is a gapful number since it is divisible by the number (12) 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 133234151151552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199614324672000).

133234151151552 is an abundant number, since it is smaller than the sum of its proper divisors (265994498192448).

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

133234151151552 is a wasteful number, since it uses less digits than its factorization.

133234151151552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9020 (or 9010 counting only the distinct ones).

The product of its digits is 270000, while the sum is 42.

The spelling of 133234151151552 in words is "one hundred thirty-three trillion, two hundred thirty-four billion, one hundred fifty-one million, one hundred fifty-one thousand, five hundred fifty-two".