135789411120 has 480 divisors, whose sum is σ = 487975767552. Its totient is φ = 30919680000.

The previous prime is 135789411113. The next prime is 135789411151. The reversal of 135789411120 is 21114987531.

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, 225938820 + ... + 225939420.

Almost surely, 2^135789411120 is an apocalyptic number.

135789411120 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 135789411120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243987883776).

135789411120 is an abundant number, since it is smaller than the sum of its proper divisors (352186356432).

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

135789411120 is a wasteful number, since it uses less digits than its factorization.

135789411120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 42.

The spelling of 135789411120 in words is "one hundred thirty-five billion, seven hundred eighty-nine million, four hundred eleven thousand, one hundred twenty".