152152 has 64 divisors (see below), whose sum is σ = 403200. Its totient is φ = 51840.

The previous prime is 152147. The next prime is 152183. The reversal of 152152 is 251251.

It is a super-2 number, since 2×152152² = 46300462208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7999 + ... + 8017.

It is an arithmetic number, because the mean of its divisors is an integer number (6300).

2¹⁵²¹⁵² is an apocalyptic number.

152152 is the 247-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201600).

152152 is an abundant number, since it is smaller than the sum of its proper divisors (251048).

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

152152 is a wasteful number, since it uses less digits than its factorization.

152152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 52 counting only the distinct ones).

The product of its digits is 100, while the sum is 16.

The square root of 152152 is about 390.0666609696. The cubic root of 152152 is about 53.3858163923.

Subtracting 152152 from its reverse (251251), we obtain a palindrome (99099).

The spelling of 152152 in words is "one hundred fifty-two thousand, one hundred fifty-two".