128126523564 has 144 divisors (see below), whose sum is σ = 351578380608. Its totient is φ = 39109238784.

The previous prime is 128126523529. The next prime is 128126523583. The reversal of 128126523564 is 465325621821.

128126523564 is a `hidden beast` number, since 1 + 2 + 8 + 1 + 2 + 65 + 23 + 564 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48220924 + ... + 48223580.

It is an arithmetic number, because the mean of its divisors is an integer number (2441516532).

Almost surely, 2^128126523564 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 128126523564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175789190304).

128126523564 is an abundant number, since it is smaller than the sum of its proper divisors (223451857044).

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

128126523564 is a wasteful number, since it uses less digits than its factorization.

128126523564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3464 (or 3459 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The spelling of 128126523564 in words is "one hundred twenty-eight billion, one hundred twenty-six million, five hundred twenty-three thousand, five hundred sixty-four".