152416 has 24 divisors (see below), whose sum is σ = 328104. Its totient is φ = 69120.

The previous prime is 152407. The next prime is 152417. The reversal of 152416 is 614251.

It is a junction number, because it is equal to n+sod(n) for n = 152393 and 152402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152417) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 136 + ... + 568.

It is an arithmetic number, because the mean of its divisors is an integer number (13671).

2¹⁵²⁴¹⁶ is an apocalyptic number.

152416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164052).

152416 is an abundant number, since it is smaller than the sum of its proper divisors (175688).

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

152416 is a wasteful number, since it uses less digits than its factorization.

152416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 446 counting only the distinct ones).

The product of its digits is 240, while the sum is 19.

The square root of 152416 is about 390.4049180018. The cubic root of 152416 is about 53.4166752526.

Adding to 152416 its reverse (614251), we get a palindrome (766667).

It can be divided in two parts, 1524 and 16, that added together give a triangular number (1540 = T₅₅).

The spelling of 152416 in words is "one hundred fifty-two thousand, four hundred sixteen".