152813 has 8 divisors (see below), whose sum is σ = 165240. Its totient is φ = 140800.

The previous prime is 152809. The next prime is 152819. The reversal of 152813 is 318251.

It can be written as a sum of positive squares in 4 ways, for example, as 58564 + 94249 = 242^2 + 307^2 .

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 152813 - 2² = 152809 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152819) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1463 + ... + 1563.

It is an arithmetic number, because the mean of its divisors is an integer number (20655).

2¹⁵²⁸¹³ is an apocalyptic number.

It is an amenable number.

152813 is a deficient number, since it is larger than the sum of its proper divisors (12427).

152813 is a wasteful number, since it uses less digits than its factorization.

152813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207.

The product of its digits is 240, while the sum is 20.

The square root of 152813 is about 390.9130338068. The cubic root of 152813 is about 53.4630134201.

It can be divided in two parts, 15 and 2813, that multiplied together give a triangular number (42195 = T₂₉₀).

The spelling of 152813 in words is "one hundred fifty-two thousand, eight hundred thirteen".