135768791412 has 96 divisors (see below), whose sum is σ = 360377351040. Its totient is φ = 44189141760.

The previous prime is 135768791407. The next prime is 135768791519. The reversal of 135768791412 is 214197867531.

135768791412 is a `hidden beast` number, since 13 + 57 + 6 + 87 + 91 + 412 = 666.

It is a super-3 number, since 3×135768791412³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 827343 + ... + 977769.

It is an arithmetic number, because the mean of its divisors is an integer number (3753930740).

Almost surely, 2^135768791412 is an apocalyptic number.

135768791412 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 135768791412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180188675520).

135768791412 is an abundant number, since it is smaller than the sum of its proper divisors (224608559628).

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

135768791412 is a wasteful number, since it uses less digits than its factorization.

135768791412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150638 (or 150630 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The spelling of 135768791412 in words is "one hundred thirty-five billion, seven hundred sixty-eight million, seven hundred ninety-one thousand, four hundred twelve".