133762748441280 has 448 divisors, whose sum is σ = 509869849651200. Its totient is φ = 29048742936576.

The previous prime is 133762748441243. The next prime is 133762748441293. The reversal of 133762748441280 is 82144847267331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 20125272 + ... + 25933608.

Almost surely, 2^{133762748441280} is an apocalyptic number.

133762748441280 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 133762748441280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254934924825600).

133762748441280 is an abundant number, since it is smaller than the sum of its proper divisors (376107101209920).

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

133762748441280 is a wasteful number, since it uses less digits than its factorization.

133762748441280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5808536 (or 5808526 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 60.

The spelling of 133762748441280 in words is "one hundred thirty-three trillion, seven hundred sixty-two billion, seven hundred forty-eight million, four hundred forty-one thousand, two hundred eighty".