135345011200 has 240 divisors, whose sum is σ = 392155346880. Its totient is φ = 45323550720.

The previous prime is 135345011189. The next prime is 135345011201. The reversal of 135345011200 is 2110543531.

It is a happy number.

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 (135345011201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3835236 + ... + 3870364.

It is an arithmetic number, because the mean of its divisors is an integer number (1633980612).

Almost surely, 2^135345011200 is an apocalyptic number.

135345011200 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 135345011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196077673440).

135345011200 is an abundant number, since it is smaller than the sum of its proper divisors (256810335680).

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

135345011200 is an equidigital number, since it uses as much as digits as its factorization.

135345011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35207 (or 35186 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

Adding to 135345011200 its reverse (2110543531), we get a palindrome (137455554731).

The spelling of 135345011200 in words is "one hundred thirty-five billion, three hundred forty-five million, eleven thousand, two hundred".