150835140625 has 63 divisors (see below), whose sum is σ = 205018137453. Its totient is φ = 110919900000.

The previous prime is 150835140541. The next prime is 150835140707. The reversal of 150835140625 is 526041538051.

The square root of 150835140625 is 388375.

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

It can be written as a sum of positive squares in 10 ways, for example, as 70759724049 + 80075416576 = 266007^2 + 282976^2 .

It is not a de Polignac number, because 150835140625 - 2⁷ = 150835140497 is a prime.

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 62 ways as a sum of consecutive naturals, for example, 631109256 + ... + 631109494.

Almost surely, 2^150835140625 is an apocalyptic number.

150835140625 is the 388375-th square number.

150835140625 is the 194188-th centered octagonal number.

It is an amenable number.

150835140625 is a deficient number, since it is larger than the sum of its proper divisors (54182996828).

150835140625 is an frugal number, since it uses more digits than its factorization.

150835140625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 40.

Adding to 150835140625 its reverse (526041538051), we get a palindrome (676876678676).

The spelling of 150835140625 in words is "one hundred fifty billion, eight hundred thirty-five million, one hundred forty thousand, six hundred twenty-five".