135191301120 has 264 divisors, whose sum is σ = 469730985360. Its totient is φ = 35951247360.

The previous prime is 135191301101. The next prime is 135191301127. The reversal of 135191301120 is 21103191531.

It is a happy number.

135191301120 is a `hidden beast` number, since 1 + 3 + 519 + 1 + 30 + 112 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (135191301127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17460450 + ... + 17468190.

Almost surely, 2^135191301120 is an apocalyptic number.

135191301120 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 135191301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234865492680).

135191301120 is an abundant number, since it is smaller than the sum of its proper divisors (334539684240).

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

135191301120 is a wasteful number, since it uses less digits than its factorization.

135191301120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8151 (or 8130 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 27.

Adding to 135191301120 its reverse (21103191531), we get a palindrome (156294492651).

The spelling of 135191301120 in words is "one hundred thirty-five billion, one hundred ninety-one million, three hundred one thousand, one hundred twenty".