135707996160 has 1248 divisors, whose sum is σ = 554706577152. Its totient is φ = 31531991040.

The previous prime is 135707996159. The next prime is 135707996161. The reversal of 135707996160 is 61699707531.

It is a happy number.

135707996160 is a `hidden beast` number, since 1 + 3 + 570 + 7 + 9 + 9 + 6 + 1 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (135707996159) and next prime (135707996161).

It is a super-3 number, since 3×135707996160³ (a number of 34 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 135707996097 and 135707996106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135707996161) 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, 2025492447 + ... + 2025492513.

It is an arithmetic number, because the mean of its divisors is an integer number (444476424).

Almost surely, 2^135707996160 is an apocalyptic number.

135707996160 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 135707996160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277353288576).

135707996160 is an abundant number, since it is smaller than the sum of its proper divisors (418998580992).

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

135707996160 is an equidigital number, since it uses as much as digits as its factorization.

135707996160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 2143260, while the sum is 54.

The spelling of 135707996160 in words is "one hundred thirty-five billion, seven hundred seven million, nine hundred ninety-six thousand, one hundred sixty".