135126351360 has 2880 divisors, whose sum is σ = 684640180224. Its totient is φ = 25082265600.

The previous prime is 135126351301. The next prime is 135126351383. The reversal of 135126351360 is 63153621531.

135126351360 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 2 + 635 + 13 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4358914545 + ... + 4358914575.

Almost surely, 2^135126351360 is an apocalyptic number.

135126351360 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 135126351360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342320090112).

135126351360 is an abundant number, since it is smaller than the sum of its proper divisors (549513828864).

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

135126351360 is a wasteful number, since it uses less digits than its factorization.

135126351360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

Adding to 135126351360 its reverse (63153621531), we get a palindrome (198279972891).

The spelling of 135126351360 in words is "one hundred thirty-five billion, one hundred twenty-six million, three hundred fifty-one thousand, three hundred sixty".