133419086619900 has 144 divisors (see below), whose sum is σ = 396944744410368. Its totient is φ = 34578676160000.

The previous prime is 133419086619883. The next prime is 133419086619901. The reversal of 133419086619900 is 9916680914331.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133419086619901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17386926 + ... + 23856725.

It is an arithmetic number, because the mean of its divisors is an integer number (2756560725072).

Almost surely, 2^{133419086619900} is an apocalyptic number.

133419086619900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133419086619900 is an abundant number, since it is smaller than the sum of its proper divisors (263525657790468).

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

133419086619900 is a wasteful number, since it uses less digits than its factorization.

133419086619900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41243972 (or 41243965 counting only the distinct ones).

The product of its (nonzero) digits is 7558272, while the sum is 60.

The spelling of 133419086619900 in words is "one hundred thirty-three trillion, four hundred nineteen billion, eighty-six million, six hundred nineteen thousand, nine hundred".