134542829520 has 640 divisors, whose sum is σ = 530708889600. Its totient is φ = 31010918400.

The previous prime is 134542829483. The next prime is 134542829521. The reversal of 134542829520 is 25928245431.

134542829520 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 42 + 82 + 9 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134542829521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 104377036 + ... + 104378324.

It is an arithmetic number, because the mean of its divisors is an integer number (829232640).

Almost surely, 2^134542829520 is an apocalyptic number.

134542829520 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 134542829520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265354444800).

134542829520 is an abundant number, since it is smaller than the sum of its proper divisors (396166060080).

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

134542829520 is a wasteful number, since it uses less digits than its factorization.

134542829520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536 (or 1524 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 134542829520 in words is "one hundred thirty-four billion, five hundred forty-two million, eight hundred twenty-nine thousand, five hundred twenty".