135761070720 has 384 divisors, whose sum is σ = 477429865920. Its totient is φ = 32789053440.

The previous prime is 135761070689. The next prime is 135761070737. The reversal of 135761070720 is 27070167531.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72715227 + ... + 72717093.

Almost surely, 2^135761070720 is an apocalyptic number.

135761070720 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 135761070720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238714932960).

135761070720 is an abundant number, since it is smaller than the sum of its proper divisors (341668795200).

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

135761070720 is a wasteful number, since it uses less digits than its factorization.

135761070720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2224 (or 2201 counting only the distinct ones).

The product of its (nonzero) digits is 61740, while the sum is 39.

The spelling of 135761070720 in words is "one hundred thirty-five billion, seven hundred sixty-one million, seventy thousand, seven hundred twenty".