135830781178560 has 2688 divisors, whose sum is σ = 570130470201600. Its totient is φ = 30220599951360.

The previous prime is 135830781178487. The next prime is 135830781178583. The reversal of 135830781178560 is 65871187038531.

It is a happy number.

135830781178560 is a `hidden beast` number, since 1 + 3 + 58 + 3 + 0 + 7 + 8 + 1 + 17 + 8 + 560 = 666.

It is a super-2 number, since 2×135830781178560² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 294643776730 + ... + 294643777190.

It is an arithmetic number, because the mean of its divisors is an integer number (212102109450).

Almost surely, 2^{135830781178560} is an apocalyptic number.

135830781178560 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 135830781178560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285065235100800).

135830781178560 is an abundant number, since it is smaller than the sum of its proper divisors (434299689023040).

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

135830781178560 is a wasteful number, since it uses less digits than its factorization.

135830781178560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 63.

The spelling of 135830781178560 in words is "one hundred thirty-five trillion, eight hundred thirty billion, seven hundred eighty-one million, one hundred seventy-eight thousand, five hundred sixty".