2000152 has 64 divisors (see below), whose sum is σ = 4976640. Its totient is φ = 729600.

The previous prime is 2000147. The next prime is 2000153. The reversal of 2000152 is 2510002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10377 + ... + 10567.

It is an arithmetic number, because the mean of its divisors is an integer number (77760).

2^2000152 is an apocalyptic number.

2000152 is a gapful number since it is divisible by the number (22) 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 2000152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2488320).

2000152 is an abundant number, since it is smaller than the sum of its proper divisors (2976488).

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

2000152 is a wasteful number, since it uses less digits than its factorization.

2000152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 2000152 is about 1414.2673014674. The cubic root of 2000152 is about 125.9952967086.

Adding to 2000152 its reverse (2510002), we get a palindrome (4510154).

The spelling of 2000152 in words is "two million, one hundred fifty-two", and thus it is an aban number.