152003616 has 96 divisors (see below), whose sum is σ = 419126400. Its totient is φ = 48168960.

The previous prime is 152003609. The next prime is 152003639. The reversal of 152003616 is 616300251.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197280 + ... + 198048.

It is an arithmetic number, because the mean of its divisors is an integer number (4365900).

Almost surely, 2^152003616 is an apocalyptic number.

152003616 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 152003616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209563200).

152003616 is an abundant number, since it is smaller than the sum of its proper divisors (267122784).

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

152003616 is a wasteful number, since it uses less digits than its factorization.

152003616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 152003616 is about 12328.9746532305. The cubic root of 152003616 is about 533.6845617022.

Adding to 152003616 its reverse (616300251), we get a palindrome (768303867).

The spelling of 152003616 in words is "one hundred fifty-two million, three thousand, six hundred sixteen".