135746372674100 has 72 divisors (see below), whose sum is σ = 298893911362200. Its totient is φ = 53502886471680.

The previous prime is 135746372674091. The next prime is 135746372674151. The reversal of 135746372674100 is 1476273647531.

It can be written as a sum of positive squares in 12 ways, for example, as 508731268516 + 135237641405584 = 713254^2 + 11629172^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1459775 + ... + 16541574.

It is an arithmetic number, because the mean of its divisors is an integer number (4151304324475).

Almost surely, 2^{135746372674100} is an apocalyptic number.

135746372674100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135746372674100 is an abundant number, since it is smaller than the sum of its proper divisors (163147538688100).

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

135746372674100 is a wasteful number, since it uses less digits than its factorization.

135746372674100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18002469 (or 18002462 counting only the distinct ones).

The product of its (nonzero) digits is 17781120, while the sum is 56.

The spelling of 135746372674100 in words is "one hundred thirty-five trillion, seven hundred forty-six billion, three hundred seventy-two million, six hundred seventy-four thousand, one hundred".