133547855364 has 405 divisors, whose sum is σ = 436740180149. Its totient is φ = 34380783360.

The previous prime is 133547855341. The next prime is 133547855377. The reversal of 133547855364 is 463558745331.

The square root of 133547855364 is 365442.

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

133547855364 is a `hidden beast` number, since 1 + 3 + 35 + 4 + 78 + 5 + 536 + 4 = 666.

133547855364 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2353220100 + 131194635264 = 48510^2 + 362208^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 133547855364.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1181839372 + ... + 1181839484.

Almost surely, 2^133547855364 is an apocalyptic number.

133547855364 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

133547855364 is the 365442-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133547855364

133547855364 is an abundant number, since it is smaller than the sum of its proper divisors (303192324785).

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

133547855364 is a wasteful number, since it uses less digits than its factorization.

133547855364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 136 counting only the distinct ones).

The product of its digits is 18144000, while the sum is 54.

The spelling of 133547855364 in words is "one hundred thirty-three billion, five hundred forty-seven million, eight hundred fifty-five thousand, three hundred sixty-four".