135545477760 has 1680 divisors, whose sum is σ = 622983210570. Its totient is φ = 28165294080.

The previous prime is 135545477729. The next prime is 135545477803. The reversal of 135545477760 is 67774545531.

135545477760 is a `hidden beast` number, since 1 + 3 + 55 + 454 + 77 + 76 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 121990929984 + 13554547776 = 349272^2 + 116424^2 .

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is a junction number, because it is equal to n+sod(n) for n = 135545477697 and 135545477706.

It is an unprimeable number.

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 209 ways as a sum of consecutive naturals, for example, 12322316155 + ... + 12322316165.

Almost surely, 2^135545477760 is an apocalyptic number.

135545477760 is a gapful number since it is divisible by the number (10) 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 135545477760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311491605285).

135545477760 is an abundant number, since it is smaller than the sum of its proper divisors (487437732810).

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

135545477760 is an frugal number, since it uses more digits than its factorization.

135545477760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 12348000, while the sum is 54.

The spelling of 135545477760 in words is "one hundred thirty-five billion, five hundred forty-five million, four hundred seventy-seven thousand, seven hundred sixty".