133754483441664 has 204 divisors, whose sum is σ = 386561602352796. Its totient is φ = 44566053912576.

The previous prime is 133754483441591. The next prime is 133754483441681. The reversal of 133754483441664 is 466144384457331.

It is a happy number.

133754483441664 is a `hidden beast` number, since 1 + 3 + 3 + 7 + 54 + 4 + 83 + 441 + 6 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 124695635558400 + 9058847883264 = 11166720^2 + 3009792^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1437354562 + ... + 1437447614.

Almost surely, 2^{133754483441664} 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 133754483441664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193280801176398).

133754483441664 is an abundant number, since it is smaller than the sum of its proper divisors (252807118911132).

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

133754483441664 is an frugal number, since it uses more digits than its factorization.

133754483441664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95528 (or 95495 counting only the distinct ones).

The product of its digits is 278691840, while the sum is 63.

The spelling of 133754483441664 in words is "one hundred thirty-three trillion, seven hundred fifty-four billion, four hundred eighty-three million, four hundred forty-one thousand, six hundred sixty-four".