135161865720 has 384 divisors, whose sum is σ = 511716441600. Its totient is φ = 30300521472.

The previous prime is 135161865653. The next prime is 135161865737. The reversal of 135161865720 is 27568161531.

135161865720 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 618 + 6 + 5 + 7 + 20 = 666.

It is a super-2 number, since 2×135161865720² (a number of 23 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 91140099 + ... + 91141581.

It is an arithmetic number, because the mean of its divisors is an integer number (1332594900).

Almost surely, 2^135161865720 is an apocalyptic number.

135161865720 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 135161865720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255858220800).

135161865720 is an abundant number, since it is smaller than the sum of its proper divisors (376554575880).

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

135161865720 is a wasteful number, since it uses less digits than its factorization.

135161865720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2179 (or 2172 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 135161865720 in words is "one hundred thirty-five billion, one hundred sixty-one million, eight hundred sixty-five thousand, seven hundred twenty".