133526049504 has 192 divisors, whose sum is σ = 375785625600. Its totient is φ = 41389843968.

The previous prime is 133526049463. The next prime is 133526049521. The reversal of 133526049504 is 405940625331.

It is a super-2 number, since 2×133526049504² (a number of 23 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 37516077 + ... + 37519635.

It is an arithmetic number, because the mean of its divisors is an integer number (1957216800).

Almost surely, 2^133526049504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133526049504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187892812800).

133526049504 is an abundant number, since it is smaller than the sum of its proper divisors (242259576096).

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

133526049504 is a wasteful number, since it uses less digits than its factorization.

133526049504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3965 (or 3957 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The spelling of 133526049504 in words is "one hundred thirty-three billion, five hundred twenty-six million, forty-nine thousand, five hundred four".