134032032534400 has 768 divisors, whose sum is σ = 444698932446720. Its totient is φ = 38550196224000.

The previous prime is 134032032534383. The next prime is 134032032534467. The reversal of 134032032534400 is 4435230230431.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15333714030 + ... + 15333722770.

It is an arithmetic number, because the mean of its divisors is an integer number (579035068290).

Almost surely, 2^{134032032534400} is an apocalyptic number.

134032032534400 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 134032032534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222349466223360).

134032032534400 is an abundant number, since it is smaller than the sum of its proper divisors (310666899912320).

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

134032032534400 is a wasteful number, since it uses less digits than its factorization.

134032032534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13583 (or 13566 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 34.

Adding to 134032032534400 its reverse (4435230230431), we get a palindrome (138467262764831).

The spelling of 134032032534400 in words is "one hundred thirty-four trillion, thirty-two billion, thirty-two million, five hundred thirty-four thousand, four hundred".