135227619072 has 432 divisors, whose sum is σ = 500979739680. Its totient is φ = 35663265792.

The previous prime is 135227619067. The next prime is 135227619073. The reversal of 135227619072 is 270916722531.

It is a happy number.

135227619072 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 27 + 619 + 0 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135227619073) 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, 4387588 + ... + 4418300.

Almost surely, 2^135227619072 is an apocalyptic number.

135227619072 is a gapful number since it is divisible by the number (12) 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 135227619072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250489869840).

135227619072 is an abundant number, since it is smaller than the sum of its proper divisors (365752120608).

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

135227619072 is a wasteful number, since it uses less digits than its factorization.

135227619072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30765 (or 30738 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 135227619072 in words is "one hundred thirty-five billion, two hundred twenty-seven million, six hundred nineteen thousand, seventy-two".