133821539151876 has 243 divisors, whose sum is σ = 375718852627573. Its totient is φ = 40149726270720.

The previous prime is 133821539151847. The next prime is 133821539151907. The reversal of 133821539151876 is 678151935128331.

It is a happy number.

The square root of 133821539151876 is 11568126.

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

133821539151876 is a `hidden beast` number, since 1 + 3 + 3 + 8 + 2 + 1 + 539 + 15 + 1 + 87 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 104186319408900 + 29635219742976 = 10207170^2 + 5443824^2 .

It is a super-2 number, since 2×133821539151876² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 27138821131 + ... + 27138826061.

Almost surely, 2^{133821539151876} is an apocalyptic number.

133821539151876 is the 11568126-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133821539151876

133821539151876 is an abundant number, since it is smaller than the sum of its proper divisors (241897313475697).

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

133821539151876 is an equidigital number, since it uses as much as digits as its factorization.

133821539151876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9952 (or 4976 counting only the distinct ones).

The product of its digits is 32659200, while the sum is 63.

The spelling of 133821539151876 in words is "one hundred thirty-three trillion, eight hundred twenty-one billion, five hundred thirty-nine million, one hundred fifty-one thousand, eight hundred seventy-six".