135752890176 has 504 divisors, whose sum is σ = 435552357240. Its totient is φ = 40358707200.

The previous prime is 135752890139. The next prime is 135752890187. The reversal of 135752890176 is 671098257531.

135752890176 is a `hidden beast` number, since 1 + 357 + 5 + 289 + 0 + 1 + 7 + 6 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 28823890176 + 106929000000 = 169776^2 + 327000^2 .

It is a super-2 number, since 2×135752890176² (a number of 23 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 71 ways as a sum of consecutive naturals, for example, 294474586 + ... + 294475046.

It is an arithmetic number, because the mean of its divisors is an integer number (864191185).

Almost surely, 2^135752890176 is an apocalyptic number.

135752890176 is a gapful number since it is divisible by the number (16) 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 135752890176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217776178620).

135752890176 is an abundant number, since it is smaller than the sum of its proper divisors (299799467064).

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

135752890176 is a wasteful number, since it uses less digits than its factorization.

135752890176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The spelling of 135752890176 in words is "one hundred thirty-five billion, seven hundred fifty-two million, eight hundred ninety thousand, one hundred seventy-six".