135353440000 has 360 divisors, whose sum is σ = 360905973120. Its totient is φ = 50534400000.

The previous prime is 135353439967. The next prime is 135353440007. The reversal of 135353440000 is 44353531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135353440007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 143839530 + ... + 143840470.

It is an arithmetic number, because the mean of its divisors is an integer number (1002516592).

Almost surely, 2^135353440000 is an apocalyptic number.

135353440000 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 135353440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180452986560).

135353440000 is an abundant number, since it is smaller than the sum of its proper divisors (225552533120).

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

135353440000 is an frugal number, since it uses more digits than its factorization.

135353440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 28.

Adding to 135353440000 its reverse (44353531), we get a palindrome (135397793531).

The spelling of 135353440000 in words is "one hundred thirty-five billion, three hundred fifty-three million, four hundred forty thousand".