135162941760 has 2688 divisors, whose sum is σ = 682712985600. Its totient is φ = 24365629440.

The previous prime is 135162941759. The next prime is 135162941773. The reversal of 135162941760 is 67149261531.

135162941760 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 629 + 4 + 17 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3653052462 + ... + 3653052498.

Almost surely, 2^135162941760 is an apocalyptic number.

135162941760 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 135162941760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341356492800).

135162941760 is an abundant number, since it is smaller than the sum of its proper divisors (547550043840).

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

135162941760 is a wasteful number, since it uses less digits than its factorization.

135162941760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 135162941760 in words is "one hundred thirty-five billion, one hundred sixty-two million, nine hundred forty-one thousand, seven hundred sixty".