135559457856 has 315 divisors, whose sum is σ = 420708861781. Its totient is φ = 41731447296.

The previous prime is 135559457851. The next prime is 135559457893. The reversal of 135559457856 is 658754955531.

The square root of 135559457856 is 368184.

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

135559457856 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 5 + 9 + 4 + 578 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 71084091456 + 64475366400 = 266616^2 + 253920^2 .

It is a super-2 number, since 2×135559457856² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

Its product of digits (113400000) is a multiple of the sum of its prime factors (168).

It is a junction number, because it is equal to n+sod(n) for n = 135559457793 and 135559457802.

It is not an unprimeable number, because it can be changed into a prime (135559457851) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4674464050 + ... + 4674464078.

Almost surely, 2^135559457856 is an apocalyptic number.

135559457856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

135559457856 is the 368184-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135559457856

135559457856 is an abundant number, since it is smaller than the sum of its proper divisors (285149403925).

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

135559457856 is an frugal number, since it uses more digits than its factorization.

135559457856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 57 counting only the distinct ones).

The product of its digits is 113400000, while the sum is 63.

The spelling of 135559457856 in words is "one hundred thirty-five billion, five hundred fifty-nine million, four hundred fifty-seven thousand, eight hundred fifty-six".