134029414008 has 192 divisors, whose sum is σ = 420061075200. Its totient is φ = 37814515200.

The previous prime is 134029414007. The next prime is 134029414027. The reversal of 134029414008 is 800414920431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134029414007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47142235 + ... + 47145077.

It is an arithmetic number, because the mean of its divisors is an integer number (2187818100).

Almost surely, 2^134029414008 is an apocalyptic number.

134029414008 is a gapful number since it is divisible by the number (18) 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 134029414008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210030537600).

134029414008 is an abundant number, since it is smaller than the sum of its proper divisors (286031661192).

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

134029414008 is a wasteful number, since it uses less digits than its factorization.

134029414008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4002 (or 3995 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 134029414008 in words is "one hundred thirty-four billion, twenty-nine million, four hundred fourteen thousand, eight".