135240000000 has 960 divisors, whose sum is σ = 546664225536. Its totient is φ = 29568000000.

The previous prime is 135239999971. The next prime is 135240000011. The reversal of 135240000000 is 42531.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (15).

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 95 ways as a sum of consecutive naturals, for example, 5879999989 + ... + 5880000011.

Almost surely, 2^135240000000 is an apocalyptic number.

135240000000 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 135240000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273332112768).

135240000000 is an abundant number, since it is smaller than the sum of its proper divisors (411424225536).

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

135240000000 is an frugal number, since it uses more digits than its factorization.

135240000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

Adding to 135240000000 its reverse (42531), we get a palindrome (135240042531).

It can be divided in two parts, 135 and 240000000, that multiplied together give a square (32400000000 = 180000²).

The spelling of 135240000000 in words is "one hundred thirty-five billion, two hundred forty million", and thus it is an aban number.