150096961 has 16 divisors (see below), whose sum is σ = 185860224. Its totient is φ = 118266624.

The previous prime is 150096949. The next prime is 150096967. The reversal of 150096961 is 169690051.

150096961 = 36² + 37² + ... + 766².

It is not a de Polignac number, because 150096961 - 2¹¹ = 150094913 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 150096961.

It is not an unprimeable number, because it can be changed into a prime (150096967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9550 + ... + 19783.

It is an arithmetic number, because the mean of its divisors is an integer number (11616264).

Almost surely, 2^150096961 is an apocalyptic number.

It is an amenable number.

150096961 is a deficient number, since it is larger than the sum of its proper divisors (35763263).

150096961 is a wasteful number, since it uses less digits than its factorization.

150096961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29400.

The product of its (nonzero) digits is 14580, while the sum is 37.

The square root of 150096961 is about 12251.4064906851. The cubic root of 150096961 is about 531.4437448628.

The spelling of 150096961 in words is "one hundred fifty million, ninety-six thousand, nine hundred sixty-one".