152641000512 has 1008 divisors, whose sum is σ = 607356038016. Its totient is φ = 35643801600.

The previous prime is 152641000493. The next prime is 152641000513. The reversal of 152641000512 is 215000146251.

152641000512 is a `hidden beast` number, since 1 + 5 + 2 + 641 + 0 + 0 + 0 + 5 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is not an unprimeable number, because it can be changed into a prime (152641000513) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 260035483 + ... + 260036069.

It is an arithmetic number, because the mean of its divisors is an integer number (602535752).

Almost surely, 2^152641000512 is an apocalyptic number.

152641000512 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 152641000512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303678019008).

152641000512 is an abundant number, since it is smaller than the sum of its proper divisors (454715037504).

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

152641000512 is a wasteful number, since it uses less digits than its factorization.

152641000512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 152641000512 its reverse (215000146251), we get a palindrome (367641146763).

The spelling of 152641000512 in words is "one hundred fifty-two billion, six hundred forty-one million, five hundred twelve", and thus it is an aban number.