135596452680 has 160 divisors (see below), whose sum is σ = 490812953400. Its totient is φ = 33377577984.

The previous prime is 135596452679. The next prime is 135596452681. The reversal of 135596452680 is 86254695531.

135596452680 is a `hidden beast` number, since 1 + 3 + 5 + 59 + 64 + 526 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (135596452679) and next prime (135596452681).

It can be written as a sum of positive squares in 4 ways, for example, as 35564679396 + 100031773284 = 188586^2 + 316278^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (135596452681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1567525 + ... + 1651764.

Almost surely, 2^135596452680 is an apocalyptic number.

135596452680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135596452680 is an abundant number, since it is smaller than the sum of its proper divisors (355216500720).

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

135596452680 is a wasteful number, since it uses less digits than its factorization.

135596452680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3219325 (or 3219312 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 135596452680 in words is "one hundred thirty-five billion, five hundred ninety-six million, four hundred fifty-two thousand, six hundred eighty".