135753316534000 has 320 divisors, whose sum is σ = 371750057902080. Its totient is φ = 47494124160000.

The previous prime is 135753316533997. The next prime is 135753316534021. The reversal of 135753316534000 is 435613357531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 180178065 + ... + 180929935.

It is an arithmetic number, because the mean of its divisors is an integer number (1161718930944).

Almost surely, 2^{135753316534000} is an apocalyptic number.

135753316534000 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 135753316534000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185875028951040).

135753316534000 is an abundant number, since it is smaller than the sum of its proper divisors (235996741368080).

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

135753316534000 is a wasteful number, since it uses less digits than its factorization.

135753316534000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752217 (or 752201 counting only the distinct ones).

The product of its (nonzero) digits is 1701000, while the sum is 46.

The spelling of 135753316534000 in words is "one hundred thirty-five trillion, seven hundred fifty-three billion, three hundred sixteen million, five hundred thirty-four thousand".