134032224400 has 180 divisors, whose sum is σ = 340622436864. Its totient is φ = 50676192000.

The previous prime is 134032224383. The next prime is 134032224401. The reversal of 134032224400 is 4422230431.

It is a happy number.

It is a super-2 number, since 2×134032224400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (134032224401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 91115665 + ... + 91117135.

Almost surely, 2^134032224400 is an apocalyptic number.

134032224400 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 134032224400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170311218432).

134032224400 is an abundant number, since it is smaller than the sum of its proper divisors (206590212464).

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

134032224400 is a wasteful number, since it uses less digits than its factorization.

134032224400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2158 (or 2128 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 134032224400 its reverse (4422230431), we get a palindrome (138454454831).

The spelling of 134032224400 in words is "one hundred thirty-four billion, thirty-two million, two hundred twenty-four thousand, four hundred".