133504534016 has 240 divisors, whose sum is σ = 316315692000. Its totient is φ = 55133405184.

The previous prime is 133504534003. The next prime is 133504534021. The reversal of 133504534016 is 610435405331.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 896003510 + ... + 896003658.

It is an arithmetic number, because the mean of its divisors is an integer number (1317982050).

Almost surely, 2^133504534016 is an apocalyptic number.

133504534016 is a gapful number since it is divisible by the number (16) 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 133504534016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158157846000).

133504534016 is an abundant number, since it is smaller than the sum of its proper divisors (182811157984).

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

133504534016 is an frugal number, since it uses more digits than its factorization.

133504534016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 35.

Adding to 133504534016 its reverse (610435405331), we get a palindrome (743939939347).

It can be divided in two parts, 133504 and 534016, that multiplied together give a square (71293272064 = 267008²).

The spelling of 133504534016 in words is "one hundred thirty-three billion, five hundred four million, five hundred thirty-four thousand, sixteen".