133143891552 has 288 divisors, whose sum is σ = 444448892160. Its totient is φ = 37022745600.

The previous prime is 133143891499. The next prime is 133143891581. The reversal of 133143891552 is 255198341331.

133143891552 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 4 + 3 + 8 + 91 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×133143891552² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133143891498 and 133143891507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12007803 + ... + 12018885.

It is an arithmetic number, because the mean of its divisors is an integer number (1543225320).

Almost surely, 2^133143891552 is an apocalyptic number.

133143891552 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 133143891552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222224446080).

133143891552 is an abundant number, since it is smaller than the sum of its proper divisors (311305000608).

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

133143891552 is a wasteful number, since it uses less digits than its factorization.

133143891552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11266 (or 11255 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The spelling of 133143891552 in words is "one hundred thirty-three billion, one hundred forty-three million, eight hundred ninety-one thousand, five hundred fifty-two".