150520720900 has 81 divisors (see below), whose sum is σ = 359124840277. Its totient is φ = 54719288800.

The previous prime is 150520720879. The next prime is 150520720919. The reversal of 150520720900 is 9027025051.

The square root of 150520720900 is 387970.

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

150520720900 is digitally balanced in base 2, 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 only one way, i.e., 54187459524 + 96333261376 = 232782^2 + 310376^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 42674937 + ... + 42678463.

Almost surely, 2^150520720900 is an apocalyptic number.

150520720900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

150520720900 is the 387970-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150520720900

150520720900 is an abundant number, since it is smaller than the sum of its proper divisors (208604119377).

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

150520720900 is an equidigital number, since it uses as much as digits as its factorization.

150520720900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7090 (or 3545 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 31.

Adding to 150520720900 its reverse (9027025051), we get a palindrome (159547745951).

The spelling of 150520720900 in words is "one hundred fifty billion, five hundred twenty million, seven hundred twenty thousand, nine hundred".