152652016 has 40 divisors (see below), whose sum is σ = 326764800. Its totient is φ = 68502720.

The previous prime is 152651987. The next prime is 152652037. The reversal of 152652016 is 610256251.

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, 8415 + ... + 19393.

It is an arithmetic number, because the mean of its divisors is an integer number (8169120).

Almost surely, 2^152652016 is an apocalyptic number.

152652016 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 152652016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163382400).

152652016 is an abundant number, since it is smaller than the sum of its proper divisors (174112784).

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

152652016 is a wasteful number, since it uses less digits than its factorization.

152652016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11077 (or 11071 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 152652016 is about 12355.2424500695. The cubic root of 152652016 is about 534.4423291975.

The spelling of 152652016 in words is "one hundred fifty-two million, six hundred fifty-two thousand, sixteen".