135126774720 has 672 divisors, whose sum is σ = 566407157760. Its totient is φ = 30224517120.

The previous prime is 135126774689. The next prime is 135126774721. The reversal of 135126774720 is 27477621531.

135126774720 is a `hidden beast` number, since 1 + 3 + 512 + 6 + 77 + 47 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135126774721) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19894525 + ... + 19901315.

Almost surely, 2^135126774720 is an apocalyptic number.

135126774720 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 135126774720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283203578880).

135126774720 is an abundant number, since it is smaller than the sum of its proper divisors (431280383040).

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

135126774720 is a wasteful number, since it uses less digits than its factorization.

135126774720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6878 (or 6855 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 135126774720 in words is "one hundred thirty-five billion, one hundred twenty-six million, seven hundred seventy-four thousand, seven hundred twenty".