152010000 has 200 divisors, whose sum is σ = 546200160. Its totient is φ = 40464000.

The previous prime is 152009981. The next prime is 152010007. The reversal of 152010000 is 10251.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (152010007) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 269719 + ... + 270281.

Almost surely, 2^152010000 is an apocalyptic number.

152010000 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 152010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273100080).

152010000 is an abundant number, since it is smaller than the sum of its proper divisors (394190160).

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

152010000 is an equidigital number, since it uses as much as digits as its factorization.

152010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 152010000 is about 12329.2335528207. The cubic root of 152010000 is about 533.6920330037.

Adding to 152010000 its reverse (10251), we get a palindrome (152020251).

The spelling of 152010000 in words is "one hundred fifty-two million, ten thousand".