135322331102400 has 672 divisors, whose sum is σ = 482804874010368. Its totient is φ = 32984111923200.

The previous prime is 135322331102369. The next prime is 135322331102417. The reversal of 135322331102400 is 4201133223531.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 28116002394 + ... + 28116007206.

It is an arithmetic number, because the mean of its divisors is an integer number (718459633944).

Almost surely, 2^{135322331102400} is an apocalyptic number.

135322331102400 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 135322331102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241402437005184).

135322331102400 is an abundant number, since it is smaller than the sum of its proper divisors (347482542907968).

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

135322331102400 is a wasteful number, since it uses less digits than its factorization.

135322331102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9169 (or 9154 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 135322331102400 its reverse (4201133223531), we get a palindrome (139523464325931).

The spelling of 135322331102400 in words is "one hundred thirty-five trillion, three hundred twenty-two billion, three hundred thirty-one million, one hundred two thousand, four hundred".