135350345362752 has 448 divisors, whose sum is σ = 450682109982720. Its totient is φ = 39542390784000.

The previous prime is 135350345362691. The next prime is 135350345362753. The reversal of 135350345362752 is 257263543053531.

135350345362752 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 5 + 0 + 3 + 4 + 5 + 3 + 627 + 5 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135350345362753) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35074752 + ... + 38741952.

It is an arithmetic number, because the mean of its divisors is an integer number (1005986852640).

Almost surely, 2^{135350345362752} is an apocalyptic number.

135350345362752 is a gapful number since it is divisible by the number (12) 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 135350345362752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225341054991360).

135350345362752 is an abundant number, since it is smaller than the sum of its proper divisors (315331764619968).

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

135350345362752 is a wasteful number, since it uses less digits than its factorization.

135350345362752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3667319 (or 3667303 counting only the distinct ones).

The product of its (nonzero) digits is 34020000, while the sum is 54.

The spelling of 135350345362752 in words is "one hundred thirty-five trillion, three hundred fifty billion, three hundred forty-five million, three hundred sixty-two thousand, seven hundred fifty-two".