134452742400 has 540 divisors, whose sum is σ = 499124564400. Its totient is φ = 35710709760.

The previous prime is 134452742353. The next prime is 134452742429. The reversal of 134452742400 is 4247254431.

134452742400 is a `hidden beast` number, since 1 + 344 + 5 + 2 + 74 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 217209291 + ... + 217209909.

Almost surely, 2^134452742400 is an apocalyptic number.

134452742400 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 134452742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249562282200).

134452742400 is an abundant number, since it is smaller than the sum of its proper divisors (364671822000).

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

134452742400 is an equidigital number, since it uses as much as digits as its factorization.

134452742400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

Adding to 134452742400 its reverse (4247254431), we get a palindrome (138699996831).

The spelling of 134452742400 in words is "one hundred thirty-four billion, four hundred fifty-two million, seven hundred forty-two thousand, four hundred".