135739108864320 has 672 divisors, whose sum is σ = 469561901762304. Its totient is φ = 33206560358400.

The previous prime is 135739108864309. The next prime is 135739108864327. The reversal of 135739108864320 is 23468801937531.

It is a happy number.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135739108864327) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17811190110 + ... + 17811197730.

It is a 1-persistent number, because it is pandigital, but 2⋅135739108864320 = 271478217728640 is not.

Almost surely, 2^{135739108864320} is an apocalyptic number.

135739108864320 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 135739108864320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234780950881152).

135739108864320 is an abundant number, since it is smaller than the sum of its proper divisors (333822792897984).

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

135739108864320 is a wasteful number, since it uses less digits than its factorization.

135739108864320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8331 (or 8308 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 60.

The spelling of 135739108864320 in words is "one hundred thirty-five trillion, seven hundred thirty-nine billion, one hundred eight million, eight hundred sixty-four thousand, three hundred twenty".