135177267456 has 1296 divisors, whose sum is σ = 552891044160. Its totient is φ = 31213486080.

The previous prime is 135177267413. The next prime is 135177267497. The reversal of 135177267456 is 654762771531.

135177267456 is a `hidden beast` number, since 1 + 3 + 517 + 7 + 2 + 6 + 74 + 56 = 666.

Its product of digits (7408800) is a multiple of the sum of its prime factors (420).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 401119320 + ... + 401119656.

It is an arithmetic number, because the mean of its divisors is an integer number (426613460).

Almost surely, 2^135177267456 is an apocalyptic number.

135177267456 is a gapful number since it is divisible by the number (16) 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 135177267456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276445522080).

135177267456 is an abundant number, since it is smaller than the sum of its proper divisors (417713776704).

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

135177267456 is a wasteful number, since it uses less digits than its factorization.

135177267456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 396 counting only the distinct ones).

The product of its digits is 7408800, while the sum is 54.

The spelling of 135177267456 in words is "one hundred thirty-five billion, one hundred seventy-seven million, two hundred sixty-seven thousand, four hundred fifty-six".