150489684900 has 243 divisors, whose sum is σ = 481340885571. Its totient is φ = 39326791680.

The previous prime is 150489684887. The next prime is 150489684911. The reversal of 150489684900 is 9486984051.

The square root of 150489684900 is 387930.

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

150489684900 is a `hidden beast` number, since 1 + 50 + 48 + 9 + 68 + 490 + 0 = 666.

150489684900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 24203269476 + 126286415424 = 155574^2 + 355368^2 .

It is a super-2 number, since 2×150489684900² (a number of 23 digits) contains 22 as substring.

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 80 ways as a sum of consecutive naturals, for example, 779739204 + ... + 779739396.

Almost surely, 2^150489684900 is an apocalyptic number.

150489684900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

150489684900 is the 387930-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150489684900

150489684900 is an abundant number, since it is smaller than the sum of its proper divisors (330851200671).

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

150489684900 is a wasteful number, since it uses less digits than its factorization.

150489684900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 150489684900 in words is "one hundred fifty billion, four hundred eighty-nine million, six hundred eighty-four thousand, nine hundred".