152205216 has 48 divisors (see below), whose sum is σ = 423045504. Its totient is φ = 47750144.

The previous prime is 152205203. The next prime is 152205217. The reversal of 152205216 is 612502251.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (152205217) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45000 + ... + 48263.

It is an arithmetic number, because the mean of its divisors is an integer number (8813448).

Almost surely, 2^152205216 is an apocalyptic number.

152205216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

152205216 is an abundant number, since it is smaller than the sum of its proper divisors (270840288).

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

152205216 is a wasteful number, since it uses less digits than its factorization.

152205216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93293 (or 93285 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 152205216 is about 12337.1478065232. The cubic root of 152205216 is about 533.9203966123.

Adding to 152205216 its reverse (612502251), we get a palindrome (764707467).

The spelling of 152205216 in words is "one hundred fifty-two million, two hundred five thousand, two hundred sixteen".