150007 has 8 divisors (see below), whose sum is σ = 176400. Its totient is φ = 125760.

The previous prime is 150001. The next prime is 150011. The reversal of 150007 is 700051.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 150007 - 2¹⁵ = 117239 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150001) 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 7 ways as a sum of consecutive naturals, for example, 382 + ... + 667.

It is an arithmetic number, because the mean of its divisors is an integer number (22050).

2¹⁵⁰⁰⁰⁷ is an apocalyptic number.

150007 is a deficient number, since it is larger than the sum of its proper divisors (26393).

150007 is a wasteful number, since it uses less digits than its factorization.

150007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073.

The product of its (nonzero) digits is 35, while the sum is 13.

The square root of 150007 is about 387.3073714765. The cubic root of 150007 is about 53.1337549585.

Adding to 150007 its reverse (700051), we get a palindrome (850058).

The spelling of 150007 in words is "one hundred fifty thousand, seven".