133756969984 has 99 divisors (see below), whose sum is σ = 294183812811. Its totient is φ = 60740106240.

The previous prime is 133756969939. The next prime is 133756970047. The reversal of 133756969984 is 489969657331.

The square root of 133756969984 is 365728.

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 128735737 + ... + 128736775.

Almost surely, 2^133756969984 is an apocalyptic number.

133756969984 is the 365728-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133756969984

133756969984 is an abundant number, since it is smaller than the sum of its proper divisors (160426842827).

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

133756969984 is an frugal number, since it uses more digits than its factorization.

133756969984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2120 (or 1052 counting only the distinct ones).

The product of its digits is 264539520, while the sum is 70.

The spelling of 133756969984 in words is "one hundred thirty-three billion, seven hundred fifty-six million, nine hundred sixty-nine thousand, nine hundred eighty-four".