135123757257600 has 576 divisors, whose sum is σ = 492255662371200. Its totient is φ = 35283260620800.

The previous prime is 135123757257581. The next prime is 135123757257613. The reversal of 135123757257600 is 6752757321531.

135123757257600 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 2 + 3 + 7 + 5 + 7 + 25 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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, 391593946 + ... + 391938854.

It is an arithmetic number, because the mean of its divisors is an integer number (854610524950).

Almost surely, 2^{135123757257600} is an apocalyptic number.

135123757257600 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 135123757257600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246127831185600).

135123757257600 is an abundant number, since it is smaller than the sum of its proper divisors (357131905113600).

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

135123757257600 is a wasteful number, since it uses less digits than its factorization.

135123757257600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345223 (or 345203 counting only the distinct ones).

The product of its (nonzero) digits is 9261000, while the sum is 54.

The spelling of 135123757257600 in words is "one hundred thirty-five trillion, one hundred twenty-three billion, seven hundred fifty-seven million, two hundred fifty-seven thousand, six hundred".