152322000 has 160 divisors (see below), whose sum is σ = 501396480. Its totient is φ = 39769600.

The previous prime is 152321999. The next prime is 152322013. The reversal of 152322000 is 223251.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 317761 + ... + 318239.

It is an arithmetic number, because the mean of its divisors is an integer number (3133728).

Almost surely, 2^152322000 is an apocalyptic number.

152322000 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 152322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250698240).

152322000 is an abundant number, since it is smaller than the sum of its proper divisors (349074480).

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

152322000 is a wasteful number, since it uses less digits than its factorization.

152322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 152322000 is about 12341.8799216327. The cubic root of 152322000 is about 534.0569171612.

Adding to 152322000 its reverse (223251), we get a palindrome (152545251).

The spelling of 152322000 in words is "one hundred fifty-two million, three hundred twenty-two thousand".