133688429424 has 320 divisors, whose sum is σ = 424470689280. Its totient is φ = 39949793280.

The previous prime is 133688429423. The next prime is 133688429461. The reversal of 133688429424 is 424924886331.

It is a happy number.

133688429424 is a `hidden beast` number, since 133 + 6 + 8 + 84 + 2 + 9 + 424 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133688429423) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 112626559 + ... + 112627745.

It is an arithmetic number, because the mean of its divisors is an integer number (1326470904).

Almost surely, 2^133688429424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133688429424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212235344640).

133688429424 is an abundant number, since it is smaller than the sum of its proper divisors (290782259856).

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

133688429424 is a wasteful number, since it uses less digits than its factorization.

133688429424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1525 (or 1513 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The spelling of 133688429424 in words is "one hundred thirty-three billion, six hundred eighty-eight million, four hundred twenty-nine thousand, four hundred twenty-four".