133104116427552 has 288 divisors, whose sum is σ = 396034520918400. Its totient is φ = 42366310502400.

The previous prime is 133104116427433. The next prime is 133104116427571. The reversal of 133104116427552 is 255724611401331.

133104116427552 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 0 + 4 + 11 + 64 + 27 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 133104116427498 and 133104116427507.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133053324 + ... + 134049972.

It is an arithmetic number, because the mean of its divisors is an integer number (1375119864300).

Almost surely, 2^{133104116427552} is an apocalyptic number.

133104116427552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133104116427552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198017260459200).

133104116427552 is an abundant number, since it is smaller than the sum of its proper divisors (262930404490848).

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

133104116427552 is a wasteful number, since it uses less digits than its factorization.

133104116427552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996936 (or 996925 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

Adding to 133104116427552 its reverse (255724611401331), we get a palindrome (388828727828883).

The spelling of 133104116427552 in words is "one hundred thirty-three trillion, one hundred four billion, one hundred sixteen million, four hundred twenty-seven thousand, five hundred fifty-two".