133236324182416 has 405 divisors, whose sum is σ = 343388367091971. Its totient is φ = 49904805210624.

The previous prime is 133236324182329. The next prime is 133236324182417. The reversal of 133236324182416 is 614281423632331.

It is a happy number.

The square root of 133236324182416 is 11542804.

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

It can be written as a sum of positive squares in 4 ways, for example, as 16283000448400 + 116953323734016 = 4035220^2 + 10814496^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 133236324182416.

It is not an unprimeable number, because it can be changed into a prime (133236324182417) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 79830031630 + ... + 79830033298.

Almost surely, 2^{133236324182416} is an apocalyptic number.

133236324182416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

133236324182416 is the 11542804-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133236324182416

133236324182416 is an abundant number, since it is smaller than the sum of its proper divisors (210152042909555).

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

133236324182416 is an equidigital number, since it uses as much as digits as its factorization.

133236324182416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3424 (or 1710 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 49.

133236324182416 divided by its sum of digits (49) gives a square (2719108656784 = 1648972²).

The spelling of 133236324182416 in words is "one hundred thirty-three trillion, two hundred thirty-six billion, three hundred twenty-four million, one hundred eighty-two thousand, four hundred sixteen".