135711464160 has 192 divisors, whose sum is σ = 450277228800. Its totient is φ = 34263171072.

The previous prime is 135711464153. The next prime is 135711464171. The reversal of 135711464160 is 61464117531.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18117696 + ... + 18125184.

It is an arithmetic number, because the mean of its divisors is an integer number (2345193900).

Almost surely, 2^135711464160 is an apocalyptic number.

135711464160 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 135711464160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225138614400).

135711464160 is an abundant number, since it is smaller than the sum of its proper divisors (314565764640).

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

135711464160 is a wasteful number, since it uses less digits than its factorization.

135711464160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9513 (or 9505 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 135711464160 in words is "one hundred thirty-five billion, seven hundred eleven million, four hundred sixty-four thousand, one hundred sixty".