133552355859504 has 800 divisors, whose sum is σ = 421084811347200. Its totient is φ = 40709353144320.

The previous prime is 133552355859493. The next prime is 133552355859529. The reversal of 133552355859504 is 405958553255331.

133552355859504 is a `hidden beast` number, since 1 + 3 + 3 + 5 + 5 + 2 + 35 + 5 + 8 + 595 + 0 + 4 = 666.

It is a super-3 number, since 3×133552355859504³ (a number of 43 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 43544946579 + ... + 43544949645.

It is an arithmetic number, because the mean of its divisors is an integer number (526356014184).

Almost surely, 2^{133552355859504} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133552355859504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210542405673600).

133552355859504 is an abundant number, since it is smaller than the sum of its proper divisors (287532455487696).

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

133552355859504 is a wasteful number, since it uses less digits than its factorization.

133552355859504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3543 (or 3528 counting only the distinct ones).

The product of its (nonzero) digits is 243000000, while the sum is 63.

The spelling of 133552355859504 in words is "one hundred thirty-three trillion, five hundred fifty-two billion, three hundred fifty-five million, eight hundred fifty-nine thousand, five hundred four".