134213402400 has 576 divisors, whose sum is σ = 546355031040. Its totient is φ = 27801907200.

The previous prime is 134213402399. The next prime is 134213402423. The reversal of 134213402400 is 4204312431.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 71886267 + ... + 71888133.

It is an arithmetic number, because the mean of its divisors is an integer number (948533040).

Almost surely, 2^134213402400 is an apocalyptic number.

134213402400 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 134213402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273177515520).

134213402400 is an abundant number, since it is smaller than the sum of its proper divisors (412141628640).

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

134213402400 is a wasteful number, since it uses less digits than its factorization.

134213402400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2297 (or 2284 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 134213402400 its reverse (4204312431), we get a palindrome (138417714831).

The spelling of 134213402400 in words is "one hundred thirty-four billion, two hundred thirteen million, four hundred two thousand, four hundred".