134942904096 has 1152 divisors, whose sum is σ = 521549715456. Its totient is φ = 29479403520.

The previous prime is 134942904091. The next prime is 134942904121. The reversal of 134942904096 is 690409249431.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (134942904091) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1194184936 + ... + 1194185048.

It is an arithmetic number, because the mean of its divisors is an integer number (452734128).

Almost surely, 2^134942904096 is an apocalyptic number.

134942904096 is a gapful number since it is divisible by the number (16) 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 134942904096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260774857728).

134942904096 is an abundant number, since it is smaller than the sum of its proper divisors (386606811360).

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

134942904096 is a wasteful number, since it uses less digits than its factorization.

134942904096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 51.

The spelling of 134942904096 in words is "one hundred thirty-four billion, nine hundred forty-two million, nine hundred four thousand, ninety-six".