152516 has 24 divisors (see below), whose sum is σ = 329280. Its totient is φ = 60192.

The previous prime is 152501. The next prime is 152519. The reversal of 152516 is 615251.

It is a super-2 number, since 2×152516² = 46522260512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (152519) by changing a digit.

152516 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 7 ways as a sum of consecutive naturals, for example, 155 + ... + 573.

It is an arithmetic number, because the mean of its divisors is an integer number (13720).

2¹⁵²⁵¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164640).

152516 is an abundant number, since it is smaller than the sum of its proper divisors (176764).

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

152516 is a wasteful number, since it uses less digits than its factorization.

152516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 441 counting only the distinct ones).

The product of its digits is 300, while the sum is 20.

The square root of 152516 is about 390.5329691588. The cubic root of 152516 is about 53.4283549094.

Adding to 152516 its reverse (615251), we get a palindrome (767767).

The spelling of 152516 in words is "one hundred fifty-two thousand, five hundred sixteen".