135024000100 has 144 divisors (see below), whose sum is σ = 342552825216. Its totient is φ = 45695232000.

The previous prime is 135024000071. The next prime is 135024000103. The reversal of 135024000100 is 1000420531.

It is not an unprimeable number, because it can be changed into a prime (135024000103) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 863980 + ... + 1008220.

It is an arithmetic number, because the mean of its divisors is an integer number (2378839064).

Almost surely, 2^135024000100 is an apocalyptic number.

135024000100 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 135024000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171276412608).

135024000100 is an abundant number, since it is smaller than the sum of its proper divisors (207528825116).

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

135024000100 is a wasteful number, since it uses less digits than its factorization.

135024000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144326 (or 144319 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

Adding to 135024000100 its reverse (1000420531), we get a palindrome (136024420631).

The spelling of 135024000100 in words is "one hundred thirty-five billion, twenty-four million, one hundred", and thus it is an aban number.