152964672000 has 960 divisors, whose sum is σ = 602553219840. Its totient is φ = 34320384000.

The previous prime is 152964671989. The next prime is 152964672017. The reversal of 152964672000 is 276469251.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 667967886 + ... + 667968114.

It is an arithmetic number, because the mean of its divisors is an integer number (627659604).

Almost surely, 2^152964672000 is an apocalyptic number.

152964672000 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 152964672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301276609920).

152964672000 is an abundant number, since it is smaller than the sum of its proper divisors (449588547840).

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

152964672000 is an equidigital number, since it uses as much as digits as its factorization.

152964672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 152964672000 in words is "one hundred fifty-two billion, nine hundred sixty-four million, six hundred seventy-two thousand".