133838523126407 has 8 divisors (see below), whose sum is σ = 146005971066000. Its totient is φ = 121671126765760.

The previous prime is 133838523126293. The next prime is 133838523126433. The reversal of 133838523126407 is 704621325838331.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2^k-133838523126407 is a prime.

It is a super-3 number, since 3×133838523126407³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133838523126487) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7366118 + ... + 17942595.

It is an arithmetic number, because the mean of its divisors is an integer number (18250746383250).

Almost surely, 2^{133838523126407} is an apocalyptic number.

133838523126407 is a deficient number, since it is larger than the sum of its proper divisors (12167447939593).

133838523126407 is a wasteful number, since it uses less digits than its factorization.

133838523126407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25789473.

The product of its (nonzero) digits is 17418240, while the sum is 56.

The spelling of 133838523126407 in words is "one hundred thirty-three trillion, eight hundred thirty-eight billion, five hundred twenty-three million, one hundred twenty-six thousand, four hundred seven".