152182000800 has 1152 divisors, whose sum is σ = 623660083200. Its totient is φ = 35610624000.

The previous prime is 152182000781. The next prime is 152182000807. The reversal of 152182000800 is 8000281251.

It is a super-2 number, since 2×152182000800² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (152182000807) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 330112570 + ... + 330113030.

It is an arithmetic number, because the mean of its divisors is an integer number (541371600).

Almost surely, 2^152182000800 is an apocalyptic number.

152182000800 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 152182000800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311830041600).

152182000800 is an abundant number, since it is smaller than the sum of its proper divisors (471478082400).

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

152182000800 is a wasteful number, since it uses less digits than its factorization.

152182000800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 548 counting only the distinct ones).

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

The spelling of 152182000800 in words is "one hundred fifty-two billion, one hundred eighty-two million, eight hundred", and thus it is an aban number.