135275136454656 has 351 divisors, whose sum is σ = 429576921715123. Its totient is φ = 40985021890560.

The previous prime is 135275136454637. The next prime is 135275136454687. The reversal of 135275136454656 is 656454631572531.

It is a happy number.

The square root of 135275136454656 is 11630784.

It is a perfect power (a square), and thus also a powerful number.

135275136454656 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 7 + 5 + 1 + 36 + 4 + 546 + 56 = 666.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 135275136454593 and 135275136454602.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 24564213055 + ... + 24564218561.

Almost surely, 2^{135275136454656} is an apocalyptic number.

135275136454656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

135275136454656 is the 11630784-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135275136454656

135275136454656 is an abundant number, since it is smaller than the sum of its proper divisors (294301785260467).

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

135275136454656 is an frugal number, since it uses more digits than its factorization.

135275136454656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11066 (or 5523 counting only the distinct ones).

The product of its digits is 272160000, while the sum is 63.

The spelling of 135275136454656 in words is "one hundred thirty-five trillion, two hundred seventy-five billion, one hundred thirty-six million, four hundred fifty-four thousand, six hundred fifty-six".