193709135376 has 45 divisors (see below), whose sum is σ = 542131319821. Its totient is φ = 64567951296.

The previous prime is 193709135363. The next prime is 193709135377. The reversal of 193709135376 is 673531907391.

The square root of 193709135376 is 440124.

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

193709135376 is a `hidden beast` number, since 1 + 93 + 7 + 0 + 9 + 13 + 537 + 6 = 666.

193709135376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 189590576400 + 4118558976 = 435420^2 + 64176^2 .

It is a super-2 number, since 2×193709135376² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (193709135377) 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 8 ways as a sum of consecutive naturals, for example, 5263150 + ... + 5299826.

Almost surely, 2^193709135376 is an apocalyptic number.

193709135376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

193709135376 is the 440124-th square number.

It is an amenable number.

193709135376 is an abundant number, since it is smaller than the sum of its proper divisors (348422184445).

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

193709135376 is an frugal number, since it uses more digits than its factorization.

193709135376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73368 (or 36682 counting only the distinct ones).

The product of its (nonzero) digits is 3214890, while the sum is 54.

The spelling of 193709135376 in words is "one hundred ninety-three billion, seven hundred nine million, one hundred thirty-five thousand, three hundred seventy-six".