152072701225 has 27 divisors (see below), whose sum is σ = 197183466039. Its totient is φ = 116334358800.

The previous prime is 152072701213. The next prime is 152072701247. The reversal of 152072701225 is 522107270251.

The square root of 152072701225 is 389965.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 54746172441 + 97326528784 = 233979^2 + 311972^2 .

It is a de Polignac number, because none of the positive numbers 2^k-152072701225 is a prime.

It is a super-2 number, since 2×152072701225² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 44844280 + ... + 44847670.

Almost surely, 2^152072701225 is an apocalyptic number.

152072701225 is the 389965-th square number.

152072701225 is the 194983-rd centered octagonal number.

It is an amenable number.

152072701225 is a deficient number, since it is larger than the sum of its proper divisors (45110764814).

152072701225 is an frugal number, since it uses more digits than its factorization.

152072701225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6838 (or 3419 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 34.

Adding to 152072701225 its reverse (522107270251), we get a palindrome (674179971476).

The spelling of 152072701225 in words is "one hundred fifty-two billion, seventy-two million, seven hundred one thousand, two hundred twenty-five".