133503273792 has 672 divisors, whose sum is σ = 469962829440. Its totient is φ = 37042790400.

The previous prime is 133503273763. The next prime is 133503273809. The reversal of 133503273792 is 297372305331.

133503273792 is a `hidden beast` number, since 1 + 3 + 3 + 503 + 2 + 73 + 79 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×133503273792² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 572975308 + ... + 572975540.

Almost surely, 2^133503273792 is an apocalyptic number.

133503273792 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 133503273792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234981414720).

133503273792 is an abundant number, since it is smaller than the sum of its proper divisors (336459555648).

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

133503273792 is a wasteful number, since it uses less digits than its factorization.

133503273792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 714420, while the sum is 45.

The spelling of 133503273792 in words is "one hundred thirty-three billion, five hundred three million, two hundred seventy-three thousand, seven hundred ninety-two".