152613216 has 288 divisors, whose sum is σ = 541090368. Its totient is φ = 39813120.

The previous prime is 152613191. The next prime is 152613259. The reversal of 152613216 is 612316251.

152613216 is a `hidden beast` number, since 1 + 526 + 132 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 152613216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2090556 + ... + 2090628.

It is an arithmetic number, because the mean of its divisors is an integer number (1878786).

Almost surely, 2^152613216 is an apocalyptic number.

152613216 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 152613216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270545184).

152613216 is an abundant number, since it is smaller than the sum of its proper divisors (388477152).

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

152613216 is a wasteful number, since it uses less digits than its factorization.

152613216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 163 counting only the distinct ones).

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

The square root of 152613216 is about 12353.6721666070. The cubic root of 152613216 is about 534.3970451150.

Adding to 152613216 its reverse (612316251), we get a palindrome (764929467).

The spelling of 152613216 in words is "one hundred fifty-two million, six hundred thirteen thousand, two hundred sixteen".