150800188900 has 27 divisors (see below), whose sum is σ = 327244836891. Its totient is φ = 60318522240.

The previous prime is 150800188853. The next prime is 150800188901. The reversal of 150800188900 is 9881008051.

The square root of 150800188900 is 388330.

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

It can be written as a sum of positive squares in 4 ways, for example, as 29300538276 + 121499650624 = 171174^2 + 348568^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (150800188901) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3863884 + ... + 3902716.

Almost surely, 2^150800188900 is an apocalyptic number.

150800188900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

150800188900 is the 388330-th square number.

It is an amenable number.

150800188900 is an abundant number, since it is smaller than the sum of its proper divisors (176444647991).

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

150800188900 is an frugal number, since it uses more digits than its factorization.

150800188900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77680 (or 38840 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 40.

The spelling of 150800188900 in words is "one hundred fifty billion, eight hundred million, one hundred eighty-eight thousand, nine hundred".