135589319712 has 768 divisors, whose sum is σ = 527668162560. Its totient is φ = 32790528000.

The previous prime is 135589319687. The next prime is 135589319741. The reversal of 135589319712 is 217913985531.

135589319712 is a `hidden beast` number, since 1 + 3 + 558 + 9 + 3 + 19 + 71 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 114227983 + ... + 114229169.

It is an arithmetic number, because the mean of its divisors is an integer number (687067920).

Almost surely, 2^135589319712 is an apocalyptic number.

135589319712 is a gapful number since it is divisible by the number (12) 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 135589319712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263834081280).

135589319712 is an abundant number, since it is smaller than the sum of its proper divisors (392078842848).

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

135589319712 is a wasteful number, since it uses less digits than its factorization.

135589319712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 1328 counting only the distinct ones).

The product of its digits is 2041200, while the sum is 54.

The spelling of 135589319712 in words is "one hundred thirty-five billion, five hundred eighty-nine million, three hundred nineteen thousand, seven hundred twelve".