135297552272256 has 256 divisors, whose sum is σ = 440865528364800. Its totient is φ = 40505290352640.

The previous prime is 135297552272251. The next prime is 135297552272297. The reversal of 135297552272256 is 652272255792531.

135297552272256 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 9 + 7 + 552 + 2 + 7 + 22 + 56 = 666.

It is a super-3 number, since 3×135297552272256³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 135297552272193 and 135297552272202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135297552272251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18284211 + ... + 24594866.

It is an arithmetic number, because the mean of its divisors is an integer number (1722130970175).

Almost surely, 2^{135297552272256} is an apocalyptic number.

135297552272256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

135297552272256 is an abundant number, since it is smaller than the sum of its proper divisors (305567976092544).

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

135297552272256 is a wasteful number, since it uses less digits than its factorization.

135297552272256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42879194 (or 42879176 counting only the distinct ones).

The product of its digits is 158760000, while the sum is 63.

The spelling of 135297552272256 in words is "one hundred thirty-five trillion, two hundred ninety-seven billion, five hundred fifty-two million, two hundred seventy-two thousand, two hundred fifty-six".