149709173224900 has 81 divisors (see below), whose sum is σ = 326286770663637. Its totient is φ = 59623443187200.

The previous prime is 149709173224883. The next prime is 149709173224909. The reversal of 149709173224900 is 9422371907941.

It is a happy number.

The square root of 149709173224900 is 12235570.

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

It can be written as a sum of positive squares in 13 ways, for example, as 320938112196 + 149388235112704 = 566514^2 + 12222448^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (149709173224909) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 29487721162 + ... + 29487726238.

Almost surely, 2^{149709173224900} is an apocalyptic number.

149709173224900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

149709173224900 is the 12235570-th square number.

It is an amenable number.

149709173224900 is an abundant number, since it is smaller than the sum of its proper divisors (176577597438737).

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

149709173224900 is an frugal number, since it uses more digits than its factorization.

149709173224900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10650 (or 5325 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 58.

The spelling of 149709173224900 in words is "one hundred forty-nine trillion, seven hundred nine billion, one hundred seventy-three million, two hundred twenty-four thousand, nine hundred".