134040422134400 has 192 divisors, whose sum is σ = 343898538192000. Its totient is φ = 51585982341120.

The previous prime is 134040422134351. The next prime is 134040422134427. The reversal of 134040422134400 is 4431224040431.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1320836 + ... + 16426364.

It is an arithmetic number, because the mean of its divisors is an integer number (1791138219750).

Almost surely, 2^{134040422134400} is an apocalyptic number.

134040422134400 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 134040422134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171949269096000).

134040422134400 is an abundant number, since it is smaller than the sum of its proper divisors (209858116057600).

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

134040422134400 is a wasteful number, since it uses less digits than its factorization.

134040422134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15105659 (or 15105642 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 134040422134400 its reverse (4431224040431), we get a palindrome (138471646174831).

The spelling of 134040422134400 in words is "one hundred thirty-four trillion, forty billion, four hundred twenty-two million, one hundred thirty-four thousand, four hundred".