152991 has 12 divisors (see below), whose sum is σ = 224640. Its totient is φ = 100320.

The previous prime is 152989. The next prime is 152993. The reversal of 152991 is 199251.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (152989) and next prime (152993).

It is not a de Polignac number, because 152991 - 2¹ = 152989 is a prime.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 706 + ... + 896.

It is an arithmetic number, because the mean of its divisors is an integer number (18720).

2¹⁵²⁹⁹¹ is an apocalyptic number.

152991 is a deficient number, since it is larger than the sum of its proper divisors (71649).

152991 is a wasteful number, since it uses less digits than its factorization.

152991 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 283 counting only the distinct ones).

The product of its digits is 810, while the sum is 27.

The square root of 152991 is about 391.1406396681. The cubic root of 152991 is about 53.4837636700.

The spelling of 152991 in words is "one hundred fifty-two thousand, nine hundred ninety-one".