133776996480 has 384 divisors, whose sum is σ = 475164144000. Its totient is φ = 34667347968.

The previous prime is 133776996439. The next prime is 133776996481. The reversal of 133776996480 is 84699677331.

133776996480 is a `hidden beast` number, since 1 + 3 + 3 + 7 + 7 + 69 + 96 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×133776996480³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (133776996481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30243549 + ... + 30247971.

It is an arithmetic number, because the mean of its divisors is an integer number (1237406625).

Almost surely, 2^133776996480 is an apocalyptic number.

133776996480 is a gapful number since it is divisible by the number (10) 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 133776996480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237582072000).

133776996480 is an abundant number, since it is smaller than the sum of its proper divisors (341387147520).

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

133776996480 is a wasteful number, since it uses less digits than its factorization.

133776996480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4596 (or 4581 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

It can be divided in two parts, 133776 and 996480, that added together give a triangular number (1130256 = T₁₅₀₃).

The spelling of 133776996480 in words is "one hundred thirty-three billion, seven hundred seventy-six million, nine hundred ninety-six thousand, four hundred eighty".