135133442400 has 432 divisors, whose sum is σ = 493297801920. Its totient is φ = 31865702400.

The previous prime is 135133442399. The next prime is 135133442443. The reversal of 135133442400 is 4244331531.

It is a super-2 number, since 2×135133442400² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 36139731 + ... + 36143469.

It is an arithmetic number, because the mean of its divisors is an integer number (1141893060).

Almost surely, 2^135133442400 is an apocalyptic number.

135133442400 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 135133442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246648900960).

135133442400 is an abundant number, since it is smaller than the sum of its proper divisors (358164359520).

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

135133442400 is a wasteful number, since it uses less digits than its factorization.

135133442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3847 (or 3797 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 135133442400 its reverse (4244331531), we get a palindrome (139377773931).

The spelling of 135133442400 in words is "one hundred thirty-five billion, one hundred thirty-three million, four hundred forty-two thousand, four hundred".