512136012128 has 192 divisors, whose sum is σ = 1154685611520. Its totient is φ = 221790277632.

The previous prime is 512136012061. The next prime is 512136012137. The reversal of 512136012128 is 821210631215.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 512136012094 and 512136012103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 466850876 + ... + 466851972.

It is an arithmetic number, because the mean of its divisors is an integer number (6013987560).

Almost surely, 2^512136012128 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 512136012128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577342805760).

512136012128 is an abundant number, since it is smaller than the sum of its proper divisors (642549599392).

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

512136012128 is a wasteful number, since it uses less digits than its factorization.

512136012128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2029 (or 2021 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The spelling of 512136012128 in words is "five hundred twelve billion, one hundred thirty-six million, twelve thousand, one hundred twenty-eight".