135429619520 has 448 divisors, whose sum is σ = 373294656000. Its totient is φ = 46436941824.

The previous prime is 135429619513. The next prime is 135429619543. The reversal of 135429619520 is 25916924531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 377241101 + ... + 377241459.

It is an arithmetic number, because the mean of its divisors is an integer number (833247000).

Almost surely, 2^135429619520 is an apocalyptic number.

135429619520 is a gapful number since it is divisible by the number (10) 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 135429619520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186647328000).

135429619520 is an abundant number, since it is smaller than the sum of its proper divisors (237865036480).

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

135429619520 is a wasteful number, since it uses less digits than its factorization.

135429619520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 47.

The spelling of 135429619520 in words is "one hundred thirty-five billion, four hundred twenty-nine million, six hundred nineteen thousand, five hundred twenty".