135501212000 has 384 divisors, whose sum is σ = 417640624128. Its totient is φ = 41973504000.

The previous prime is 135501211999. The next prime is 135501212047. The reversal of 135501212000 is 212105531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53282729 + ... + 53285271.

It is an arithmetic number, because the mean of its divisors is an integer number (1087605792).

Almost surely, 2^135501212000 is an apocalyptic number.

135501212000 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 135501212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208820312064).

135501212000 is an abundant number, since it is smaller than the sum of its proper divisors (282139412128).

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

135501212000 is a wasteful number, since it uses less digits than its factorization.

135501212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2759 (or 2741 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

Adding to 135501212000 its reverse (212105531), we get a palindrome (135713317531).

The spelling of 135501212000 in words is "one hundred thirty-five billion, five hundred one million, two hundred twelve thousand".