135524240000 has 160 divisors (see below), whose sum is σ = 340061145600. Its totient is φ = 53778816000.

The previous prime is 135524239997. The next prime is 135524240083. The reversal of 135524240000 is 42425531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10153331 + ... + 10166669.

It is an arithmetic number, because the mean of its divisors is an integer number (2125382160).

Almost surely, 2^135524240000 is an apocalyptic number.

135524240000 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 135524240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170030572800).

135524240000 is an abundant number, since it is smaller than the sum of its proper divisors (204536905600).

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

135524240000 is an equidigital number, since it uses as much as digits as its factorization.

135524240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13500 (or 13473 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

Adding to 135524240000 its reverse (42425531), we get a palindrome (135566665531).

The spelling of 135524240000 in words is "one hundred thirty-five billion, five hundred twenty-four million, two hundred forty thousand".