135556160760 has 192 divisors, whose sum is σ = 466575482880. Its totient is φ = 34060435200.

The previous prime is 135556160689. The next prime is 135556160767. The reversal of 135556160760 is 67061655531.

135556160760 is a `hidden beast` number, since 1 + 35 + 5 + 5 + 6 + 1 + 607 + 6 + 0 = 666.

135556160760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135556160767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 432585 + ... + 676935.

It is an arithmetic number, because the mean of its divisors is an integer number (2430080640).

Almost surely, 2^135556160760 is an apocalyptic number.

135556160760 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 135556160760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233287741440).

135556160760 is an abundant number, since it is smaller than the sum of its proper divisors (331019322120).

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

135556160760 is a wasteful number, since it uses less digits than its factorization.

135556160760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244458 (or 244451 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The spelling of 135556160760 in words is "one hundred thirty-five billion, five hundred fifty-six million, one hundred sixty thousand, seven hundred sixty".