135983171520 has 1792 divisors, whose sum is σ = 609560985600. Its totient is φ = 27869184000.

The previous prime is 135983171461. The next prime is 135983171521. The reversal of 135983171520 is 25171389531.

135983171520 is a `hidden beast` number, since 1 + 3 + 5 + 98 + 31 + 7 + 1 + 520 = 666.

It is a super-2 number, since 2×135983171520² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135983171521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2229232290 + ... + 2229232350.

It is an arithmetic number, because the mean of its divisors is an integer number (340156800).

Almost surely, 2^135983171520 is an apocalyptic number.

135983171520 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 135983171520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304780492800).

135983171520 is an abundant number, since it is smaller than the sum of its proper divisors (473577814080).

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

135983171520 is a wasteful number, since it uses less digits than its factorization.

135983171520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 135983171520 in words is "one hundred thirty-five billion, nine hundred eighty-three million, one hundred seventy-one thousand, five hundred twenty".