133038185536 has 63 divisors (see below), whose sum is σ = 266836008999. Its totient is φ = 65811489408.

The previous prime is 133038185519. The next prime is 133038185561. The reversal of 133038185536 is 635581830331.

The square root of 133038185536 is 364744.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×133038185536² (a number of 23 digits) contains 22 as substring.

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 8 ways as a sum of consecutive naturals, for example, 370579725 + ... + 370580083.

Almost surely, 2^133038185536 is an apocalyptic number.

133038185536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

133038185536 is the 364744-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133038185536

133038185536 is an abundant number, since it is smaller than the sum of its proper divisors (133797823463).

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

133038185536 is an frugal number, since it uses more digits than its factorization.

133038185536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 46.

The spelling of 133038185536 in words is "one hundred thirty-three billion, thirty-eight million, one hundred eighty-five thousand, five hundred thirty-six".