152958 has 32 divisors (see below), whose sum is σ = 344736. Its totient is φ = 44928.

The previous prime is 152953. The next prime is 152959. The reversal of 152958 is 859251.

It is a super-2 number, since 2×152958² = 46792299528, which contains 22 as substring.

It is an Ulam number.

It is a Curzon number.

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 (152953) by changing a digit.

152958 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 15 ways as a sum of consecutive naturals, for example, 2860 + ... + 2912.

It is an arithmetic number, because the mean of its divisors is an integer number (10773).

2¹⁵²⁹⁵⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172368).

152958 is an abundant number, since it is smaller than the sum of its proper divisors (191778).

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

152958 is a wasteful number, since it uses less digits than its factorization.

152958 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108.

The product of its digits is 3600, while the sum is 30.

The square root of 152958 is about 391.0984530780. The cubic root of 152958 is about 53.4799179294.

The spelling of 152958 in words is "one hundred fifty-two thousand, nine hundred fifty-eight".