133945192349696 has 608 divisors, whose sum is σ = 339017228175360. Its totient is φ = 51509811216384.

The previous prime is 133945192349629. The next prime is 133945192349747. The reversal of 133945192349696 is 696943291549331.

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 31 ways as a sum of consecutive naturals, for example, 216389648075 + ... + 216389648693.

Almost surely, 2^{133945192349696} is an apocalyptic number.

133945192349696 is a gapful number since it is divisible by the number (16) 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 133945192349696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169508614087680).

133945192349696 is an abundant number, since it is smaller than the sum of its proper divisors (205072035825664).

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

133945192349696 is an frugal number, since it uses more digits than its factorization.

133945192349696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 881 counting only the distinct ones).

The product of its digits is 1020366720, while the sum is 74.

The spelling of 133945192349696 in words is "one hundred thirty-three trillion, nine hundred forty-five billion, one hundred ninety-two million, three hundred forty-nine thousand, six hundred ninety-six".