152321000 has 64 divisors (see below), whose sum is σ = 383881680. Its totient is φ = 56236800.

The previous prime is 152320979. The next prime is 152321017. The reversal of 152321000 is 123251.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 20484676 + 131836324 = 4526^2 + 11482^2 .

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 15 ways as a sum of consecutive naturals, for example, 7142 + ... + 18858.

Almost surely, 2^152321000 is an apocalyptic number.

152321000 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 152321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191940840).

152321000 is an abundant number, since it is smaller than the sum of its proper divisors (231560680).

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

152321000 is a wasteful number, since it uses less digits than its factorization.

152321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11751 (or 11737 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 152321000 is about 12341.8394090994. The cubic root of 152321000 is about 534.0557484570.

Adding to 152321000 its reverse (123251), we get a palindrome (152444251).

The spelling of 152321000 in words is "one hundred fifty-two million, three hundred twenty-one thousand".