135683195904 has 165 divisors, whose sum is σ = 405493589127. Its totient is φ = 45192370176.

The previous prime is 135683195887. The next prime is 135683195969. The reversal of 135683195904 is 409591386531.

The square root of 135683195904 is 368352.

It is a perfect power (a square), and thus also a powerful number.

135683195904 is a `hidden beast` number, since 1 + 35 + 6 + 8 + 3 + 19 + 590 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 106084737 + ... + 106086015.

Almost surely, 2^135683195904 is an apocalyptic number.

135683195904 is the 368352-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135683195904

135683195904 is an abundant number, since it is smaller than the sum of its proper divisors (269810393223).

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

135683195904 is an frugal number, since it uses more digits than its factorization.

135683195904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2590 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 135683195904 in words is "one hundred thirty-five billion, six hundred eighty-three million, one hundred ninety-five thousand, nine hundred four".