152316288 has 192 divisors, whose sum is σ = 467812800. Its totient is φ = 49310208.

The previous prime is 152316251. The next prime is 152316289. The reversal of 152316288 is 882613251.

It is a happy number.

152316288 is a `hidden beast` number, since 1 + 5 + 23 + 1 + 628 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152316289) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1835095 + ... + 1835177.

It is an arithmetic number, because the mean of its divisors is an integer number (2436525).

Almost surely, 2^152316288 is an apocalyptic number.

152316288 is a gapful number since it is divisible by the number (18) 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 152316288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233906400).

152316288 is an abundant number, since it is smaller than the sum of its proper divisors (315496512).

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

152316288 is an frugal number, since it uses more digits than its factorization.

152316288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 147 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 152316288 is about 12341.6485122531. The cubic root of 152316288 is about 534.0502414539.

It can be divided in two parts, 1 and 52316288, that added together give a square (52316289 = 7233²).

The spelling of 152316288 in words is "one hundred fifty-two million, three hundred sixteen thousand, two hundred eighty-eight".