152338752288 has 162 divisors, whose sum is σ = 439306197057. Its totient is φ = 50075262720.

The previous prime is 152338752277. The next prime is 152338752289. The reversal of 152338752288 is 882257833251.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

152338752288 is a `hidden beast` number, since 1 + 5 + 2 + 3 + 38 + 7 + 522 + 88 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 146177758224 + 6160994064 = 382332^2 + 78492^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=275988.

It is not an unprimeable number, because it can be changed into a prime (152338752289) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 721984503 + ... + 721984713.

Almost surely, 2^152338752288 is an apocalyptic number.

152338752288 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 152338752288

152338752288 is an abundant number, since it is smaller than the sum of its proper divisors (286967444769).

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

152338752288 is an equidigital number, since it uses as much as digits as its factorization.

152338752288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 325 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

It can be divided in two parts, 15233 and 8752288, that added together give a square (8767521 = 2961²).

The spelling of 152338752288 in words is "one hundred fifty-two billion, three hundred thirty-eight million, seven hundred fifty-two thousand, two hundred eighty-eight".