150271747201 has 9 divisors (see below), whose sum is σ = 154457655849. Its totient is φ = 146196393264.

The previous prime is 150271747141. The next prime is 150271747217. The reversal of 150271747201 is 102747172051.

The square root of 150271747201 is 387649.

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 66357244801 + 83914502400 = 257599^2 + 289680^2 .

It is not a de Polignac number, because 150271747201 - 2⁹ = 150271746689 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (150271744201) 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, 14337775 + ... + 14348251.

It is an arithmetic number, because the mean of its divisors is an integer number (17161961761).

Almost surely, 2^150271747201 is an apocalyptic number.

150271747201 is the 387649-th square number.

150271747201 is the 193825-th centered octagonal number.

It is an amenable number.

150271747201 is a deficient number, since it is larger than the sum of its proper divisors (4185908648).

150271747201 is an frugal number, since it uses more digits than its factorization.

150271747201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21028 (or 10514 counting only the distinct ones).

The product of its (nonzero) digits is 27440, while the sum is 37.

The spelling of 150271747201 in words is "one hundred fifty billion, two hundred seventy-one million, seven hundred forty-seven thousand, two hundred one".