135049414500 has 864 divisors, whose sum is σ = 582370798464. Its totient is φ = 25897536000.

The previous prime is 135049414481. The next prime is 135049414523. The reversal of 135049414500 is 5414940531.

It is a happy number.

135049414500 is a `hidden beast` number, since 1 + 3 + 50 + 4 + 94 + 14 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 287 ways as a sum of consecutive naturals, for example, 31529359 + ... + 31533641.

It is an arithmetic number, because the mean of its divisors is an integer number (674040276).

Almost surely, 2^135049414500 is an apocalyptic number.

135049414500 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 135049414500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291185399232).

135049414500 is an abundant number, since it is smaller than the sum of its proper divisors (447321383964).

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

135049414500 is a wasteful number, since it uses less digits than its factorization.

135049414500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4346 (or 4324 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 135049414500 in words is "one hundred thirty-five billion, forty-nine million, four hundred fourteen thousand, five hundred".