135290630374944 has 384 divisors, whose sum is σ = 395332619673600. Its totient is φ = 40504549662720.

The previous prime is 135290630374937. The next prime is 135290630374951. The reversal of 135290630374944 is 449473036092531.

It is an interprime number because it is at equal distance from previous prime (135290630374937) and next prime (135290630374951).

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, 7424159817 + ... + 7424178039.

It is an arithmetic number, because the mean of its divisors is an integer number (1029512030400).

Almost surely, 2^{135290630374944} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135290630374944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197666309836800).

135290630374944 is an abundant number, since it is smaller than the sum of its proper divisors (260041989298656).

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

135290630374944 is a wasteful number, since it uses less digits than its factorization.

135290630374944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18965 (or 18935 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 60.

The spelling of 135290630374944 in words is "one hundred thirty-five trillion, two hundred ninety billion, six hundred thirty million, three hundred seventy-four thousand, nine hundred forty-four".