135027745524 has 360 divisors, whose sum is σ = 426591312840. Its totient is φ = 37090400256.

The previous prime is 135027745511. The next prime is 135027745549. The reversal of 135027745524 is 425547720531.

135027745524 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 27 + 74 + 552 + 4 = 666.

135027745524 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6707610000 + 128320135524 = 81900^2 + 358218^2 .

It is a super-2 number, since 2×135027745524² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 135027745524.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 144105984 + ... + 144106920.

It is an arithmetic number, because the mean of its divisors is an integer number (1184975869).

Almost surely, 2^135027745524 is an apocalyptic number.

135027745524 is a gapful number since it is divisible by the number (14) 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 135027745524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213295656420).

135027745524 is an abundant number, since it is smaller than the sum of its proper divisors (291563567316).

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

135027745524 is a wasteful number, since it uses less digits than its factorization.

135027745524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 1176000, while the sum is 45.

The spelling of 135027745524 in words is "one hundred thirty-five billion, twenty-seven million, seven hundred forty-five thousand, five hundred twenty-four".