152864712000 has 2688 divisors, whose sum is σ = 774056424960. Its totient is φ = 29030400000.

The previous prime is 152864711963. The next prime is 152864712001. The reversal of 152864712000 is 217468251.

152864712000 is a `hidden beast` number, since 1 + 5 + 2 + 8 + 647 + 1 + 2 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152864712001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1513511950 + ... + 1513512050.

It is an arithmetic number, because the mean of its divisors is an integer number (287967420).

Almost surely, 2^152864712000 is an apocalyptic number.

152864712000 is a gapful number since it is divisible by the number (10) 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 152864712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387028212480).

152864712000 is an abundant number, since it is smaller than the sum of its proper divisors (621191712960).

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

152864712000 is a wasteful number, since it uses less digits than its factorization.

152864712000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 152864712000 in words is "one hundred fifty-two billion, eight hundred sixty-four million, seven hundred twelve thousand".