152251616 has 48 divisors (see below), whose sum is σ = 333205488. Its totient is φ = 67891200.

The previous prime is 152251607. The next prime is 152251637. The reversal of 152251616 is 616152251.

It is a happy number.

It is a super-2 number, since 2×152251616² = 46361109149222912, 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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14576 + ... + 22736.

It is an arithmetic number, because the mean of its divisors is an integer number (6941781).

Almost surely, 2^152251616 is an apocalyptic number.

152251616 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 152251616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166602744).

152251616 is an abundant number, since it is smaller than the sum of its proper divisors (180953872).

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

152251616 is a wasteful number, since it uses less digits than its factorization.

152251616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8235 (or 8227 counting only the distinct ones).

The product of its digits is 3600, while the sum is 29.

The square root of 152251616 is about 12339.0281627039. The cubic root of 152251616 is about 533.9746465914.

The spelling of 152251616 in words is "one hundred fifty-two million, two hundred fifty-one thousand, six hundred sixteen".