134230322400 has 288 divisors, whose sum is σ = 456468784128. Its totient is φ = 34221158400.

The previous prime is 134230322399. The next prime is 134230322407. The reversal of 134230322400 is 4223032431.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134230322407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6164332 + ... + 6186068.

It is an arithmetic number, because the mean of its divisors is an integer number (1584961056).

Almost surely, 2^134230322400 is an apocalyptic number.

134230322400 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 134230322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228234392064).

134230322400 is an abundant number, since it is smaller than the sum of its proper divisors (322238461728).

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

134230322400 is a wasteful number, since it uses less digits than its factorization.

134230322400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21874 (or 21861 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 134230322400 its reverse (4223032431), we get a palindrome (138453354831).

The spelling of 134230322400 in words is "one hundred thirty-four billion, two hundred thirty million, three hundred twenty-two thousand, four hundred".