152946 has 24 divisors (see below), whose sum is σ = 343980. Its totient is φ = 49056.

The previous prime is 152941. The next prime is 152947. The reversal of 152946 is 649251.

152946 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 140625 + 12321 = 375^2 + 111^2 .

It is a super-3 number, since 3×152946³ = 10733358240859608, which contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (152941) by changing a digit.

152946 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 376 + ... + 668.

152946 is a Friedman number, since it can be written as 25491*6, using all its digits and the basic arithmetic operations.

2¹⁵²⁹⁴⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171990).

152946 is an abundant number, since it is smaller than the sum of its proper divisors (191034).

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

152946 is a wasteful number, since it uses less digits than its factorization.

152946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 327 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 152946 is about 391.0831113715. The cubic root of 152946 is about 53.4785193411.

The spelling of 152946 in words is "one hundred fifty-two thousand, nine hundred forty-six".