134225531330400 has 1152 divisors, whose sum is σ = 519081151680000. Its totient is φ = 33415964467200.

The previous prime is 134225531330309. The next prime is 134225531330417. The reversal of 134225531330400 is 4033135522431.

134225531330400 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 255 + 31 + 330 + 40 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2254383831 + ... + 2254443369.

It is an arithmetic number, because the mean of its divisors is an integer number (450591277500).

Almost surely, 2^{134225531330400} is an apocalyptic number.

134225531330400 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 134225531330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259540575840000).

134225531330400 is an abundant number, since it is smaller than the sum of its proper divisors (384855620349600).

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

134225531330400 is a wasteful number, since it uses less digits than its factorization.

134225531330400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59717 (or 59698 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 134225531330400 its reverse (4033135522431), we get a palindrome (138258666852831).

The spelling of 134225531330400 in words is "one hundred thirty-four trillion, two hundred twenty-five billion, five hundred thirty-one million, three hundred thirty thousand, four hundred".