135444544400 has 180 divisors, whose sum is σ = 359676518292. Its totient is φ = 48977280000.

The previous prime is 135444544307. The next prime is 135444544421. The reversal of 135444544400 is 4445444531.

It can be written as a sum of positive squares in 6 ways, for example, as 48225916816 + 87218627584 = 219604^2 + 295328^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8752670 + ... + 8768130.

Almost surely, 2^135444544400 is an apocalyptic number.

135444544400 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 135444544400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179838259146).

135444544400 is an abundant number, since it is smaller than the sum of its proper divisors (224231973892).

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

135444544400 is a wasteful number, since it uses less digits than its factorization.

135444544400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15682 (or 15660 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 38.

Adding to 135444544400 its reverse (4445444531), we get a palindrome (139889988931).

The spelling of 135444544400 in words is "one hundred thirty-five billion, four hundred forty-four million, five hundred forty-four thousand, four hundred".