128157563533230 has 720 divisors, whose sum is σ = 429754457433600. Its totient is φ = 26418766429440.

The previous prime is 128157563533211. The next prime is 128157563533267. The reversal of 128157563533230 is 32335365751821.

128157563533230 is a `hidden beast` number, since 1 + 2 + 8 + 1 + 5 + 7 + 56 + 353 + 3 + 230 = 666.

It is a super-3 number, since 3×128157563533230³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 8199977056 + ... + 8199992684.

It is an arithmetic number, because the mean of its divisors is an integer number (596881190880).

Almost surely, 2^{128157563533230} is an apocalyptic number.

128157563533230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 128157563533230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214877228716800).

128157563533230 is an abundant number, since it is smaller than the sum of its proper divisors (301596893900370).

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

128157563533230 is a wasteful number, since it uses less digits than its factorization.

128157563533230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15827 (or 15784 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 54.

It can be divided in two parts, 1281575 and 63533230, that added together give a triangular number (64814805 = T₁₁₃₈₅).

The spelling of 128157563533230 in words is "one hundred twenty-eight trillion, one hundred fifty-seven billion, five hundred sixty-three million, five hundred thirty-three thousand, two hundred thirty".