135002103636000 has 192 divisors, whose sum is σ = 442382727661056. Its totient is φ = 35991131904000.

The previous prime is 135002103635989. The next prime is 135002103636017. The reversal of 135002103636000 is 636301200531.

It is a happy number.

It is a super-2 number, since 2×135002103636000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44404620 + ... + 47347380.

It is an arithmetic number, because the mean of its divisors is an integer number (2304076706568).

Almost surely, 2^{135002103636000} is an apocalyptic number.

135002103636000 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 135002103636000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221191363830528).

135002103636000 is an abundant number, since it is smaller than the sum of its proper divisors (307380624025056).

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

135002103636000 is a wasteful number, since it uses less digits than its factorization.

135002103636000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2946612 (or 2946594 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

Adding to 135002103636000 its reverse (636301200531), we get a palindrome (135638404836531).

The spelling of 135002103636000 in words is "one hundred thirty-five trillion, two billion, one hundred three million, six hundred thirty-six thousand".