150813 has 12 divisors (see below), whose sum is σ = 234780. Its totient is φ = 92736.

The previous prime is 150797. The next prime is 150827. The reversal of 150813 is 318051.

It is a happy number.

150813 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 71289 + 79524 = 267^2 + 282^2 .

It is not a de Polignac number, because 150813 - 2⁴ = 150797 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150833) 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, 528 + ... + 761.

It is an arithmetic number, because the mean of its divisors is an integer number (19565).

2¹⁵⁰⁸¹³ is an apocalyptic number.

150813 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

150813 is a deficient number, since it is larger than the sum of its proper divisors (83967).

150813 is a wasteful number, since it uses less digits than its factorization.

150813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 150813 is about 388.3464947698. The cubic root of 150813 is about 53.2287490420.

Adding to 150813 its reverse (318051), we get a palindrome (468864).

It can be divided in two parts, 1508 and 13, that added together give a square (1521 = 39²).

The spelling of 150813 in words is "one hundred fifty thousand, eight hundred thirteen".