135039901882320 has 480 divisors, whose sum is σ = 477200757196800. Its totient is φ = 34156694854656.

The previous prime is 135039901882309. The next prime is 135039901882331. The reversal of 135039901882320 is 23288109930531.

135039901882320 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 399 + 0 + 18 + 8 + 232 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (135039901882309) and next prime (135039901882331).

It is a super-2 number, since 2×135039901882320² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 1158694611 + ... + 1158811149.

It is an arithmetic number, because the mean of its divisors is an integer number (994168244160).

Almost surely, 2^{135039901882320} is an apocalyptic number.

135039901882320 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 135039901882320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238600378598400).

135039901882320 is an abundant number, since it is smaller than the sum of its proper divisors (342160855314480).

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

135039901882320 is a wasteful number, since it uses less digits than its factorization.

135039901882320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117167 (or 117158 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 135039901882320 in words is "one hundred thirty-five trillion, thirty-nine billion, nine hundred one million, eight hundred eighty-two thousand, three hundred twenty".