134942029824 has 576 divisors, whose sum is σ = 455327308800. Its totient is φ = 35300966400.

The previous prime is 134942029813. The next prime is 134942029829. The reversal of 134942029824 is 428920249431.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134942029829) 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 47 ways as a sum of consecutive naturals, for example, 177321604 + ... + 177322364.

It is an arithmetic number, because the mean of its divisors is an integer number (790498800).

Almost surely, 2^134942029824 is an apocalyptic number.

134942029824 is a gapful number since it is divisible by the number (14) 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 134942029824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227663654400).

134942029824 is an abundant number, since it is smaller than the sum of its proper divisors (320385278976).

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

134942029824 is a wasteful number, since it uses less digits than its factorization.

134942029824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 134942029824 in words is "one hundred thirty-four billion, nine hundred forty-two million, twenty-nine thousand, eight hundred twenty-four".