133119900736 has 63 divisors (see below), whose sum is σ = 269061047221. Its totient is φ = 65347169024.

The previous prime is 133119900713. The next prime is 133119900751. The reversal of 133119900736 is 637009911331.

The square root of 133119900736 is 364856.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8471361600 + 124648539136 = 92040^2 + 353056^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 133119900692 and 133119900701.

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 8 ways as a sum of consecutive naturals, for example, 172211646 + ... + 172212418.

Almost surely, 2^133119900736 is an apocalyptic number.

133119900736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

133119900736 is the 364856-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133119900736

133119900736 is an abundant number, since it is smaller than the sum of its proper divisors (135941146485).

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

133119900736 is an frugal number, since it uses more digits than its factorization.

133119900736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1676 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 91854, while the sum is 43.

The spelling of 133119900736 in words is "one hundred thirty-three billion, one hundred nineteen million, nine hundred thousand, seven hundred thirty-six".