152182800000 has 1920 divisors, whose sum is σ = 717332837760. Its totient is φ = 31104000000.

The previous prime is 152182799957. The next prime is 152182800023. The reversal of 152182800000 is 8281251.

152182800000 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2494799970 + ... + 2494800030.

It is an arithmetic number, because the mean of its divisors is an integer number (373610853).

Almost surely, 2^152182800000 is an apocalyptic number.

152182800000 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 152182800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358666418880).

152182800000 is an abundant number, since it is smaller than the sum of its proper divisors (565150037760).

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

152182800000 is an frugal number, since it uses more digits than its factorization.

152182800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The spelling of 152182800000 in words is "one hundred fifty-two billion, one hundred eighty-two million, eight hundred thousand".