150209541 has 12 divisors (see below), whose sum is σ = 217084140. Its totient is φ = 100086720.

The previous prime is 150209537. The next prime is 150209551. The reversal of 150209541 is 145902051.

It can be written as a sum of positive squares in 2 ways, for example, as 39012516 + 111197025 = 6246^2 + 10545^2 .

It is not a de Polignac number, because 150209541 - 2² = 150209537 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150209551) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21625 + ... + 27713.

It is an arithmetic number, because the mean of its divisors is an integer number (18090345).

Almost surely, 2^150209541 is an apocalyptic number.

It is an amenable number.

150209541 is a deficient number, since it is larger than the sum of its proper divisors (66874599).

150209541 is a wasteful number, since it uses less digits than its factorization.

150209541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8836 (or 8833 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 150209541 is about 12256.0002039817. Note that the first 3 decimals coincide. The cubic root of 150209541 is about 531.5765811845.

The spelling of 150209541 in words is "one hundred fifty million, two hundred nine thousand, five hundred forty-one".