613152 has 36 divisors (see below), whose sum is σ = 1744470. Its totient is φ = 204288.

The previous prime is 613141. The next prime is 613153. The reversal of 613152 is 251316.

613152 is a `hidden beast` number, since 613 + 1 + 52 = 666.

613152 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in only one way, i.e., 571536 + 41616 = 756^2 + 204^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (613153) by changing a digit.

613152 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 777 + ... + 1352.

2⁶¹³¹⁵² is an apocalyptic number.

It is an amenable number.

613152 is an abundant number, since it is smaller than the sum of its proper divisors (1131318).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

613152 is a wasteful number, since it uses less digits than its factorization.

613152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2145 (or 2134 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 613152 is about 783.0402288516. The cubic root of 613152 is about 84.9550858447.

Adding to 613152 its reverse (251316), we get a palindrome (864468).

The spelling of 613152 in words is "six hundred thirteen thousand, one hundred fifty-two".