152193216 has 112 divisors (see below), whose sum is σ = 469798400. Its totient is φ = 43464960.

The previous prime is 152193203. The next prime is 152193221. The reversal of 152193216 is 612391251.

152193216 = T₂₉₃ + T₂₉₄ + ... + T₉₇₈.

It is a tau number, because it is divible by the number of its divisors (112).

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, 64701 + ... + 67011.

Almost surely, 2^152193216 is an apocalyptic number.

152193216 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 152193216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234899200).

152193216 is an abundant number, since it is smaller than the sum of its proper divisors (317605184).

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

152193216 is an equidigital number, since it uses as much as digits as its factorization.

152193216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2347 (or 2323 counting only the distinct ones).

The product of its digits is 3240, while the sum is 30.

The square root of 152193216 is about 12336.6614608653. The cubic root of 152193216 is about 533.9063646509.

The spelling of 152193216 in words is "one hundred fifty-two million, one hundred ninety-three thousand, two hundred sixteen".