133587326016 has 189 divisors, whose sum is σ = 389372085999. Its totient is φ = 43789344768.

The previous prime is 133587325997. The next prime is 133587326071. The reversal of 133587326016 is 610623785331.

The square root of 133587326016 is 365496.

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

133587326016 is a `hidden beast` number, since 1 + 3 + 3 + 5 + 8 + 7 + 32 + 601 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9119486016 + 124467840000 = 95496^2 + 352800^2 .

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 26 ways as a sum of consecutive naturals, for example, 850874610 + ... + 850874766.

Almost surely, 2^133587326016 is an apocalyptic number.

133587326016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

133587326016 is the 365496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133587326016

133587326016 is an abundant number, since it is smaller than the sum of its proper divisors (255784759983).

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

133587326016 is an frugal number, since it uses more digits than its factorization.

133587326016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

It can be divided in two parts, 1335873 and 26016, that added together give a square (1361889 = 1167²).

The spelling of 133587326016 in words is "one hundred thirty-three billion, five hundred eighty-seven million, three hundred twenty-six thousand, sixteen".