153114 has 24 divisors (see below), whose sum is σ = 333792. Its totient is φ = 46800.

The previous prime is 153113. The next prime is 153133. The reversal of 153114 is 411351.

It is a junction number, because it is equal to n+sod(n) for n = 153093 and 153102.

It is not an unprimeable number, because it can be changed into a prime (153113) 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, 939 + ... + 1089.

It is an arithmetic number, because the mean of its divisors is an integer number (13908).

2¹⁵³¹¹⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166896).

153114 is an abundant number, since it is smaller than the sum of its proper divisors (180678).

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

153114 is a wasteful number, since it uses less digits than its factorization.

153114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 169 counting only the distinct ones).

The product of its digits is 60, while the sum is 15.

The square root of 153114 is about 391.2978405256. The cubic root of 153114 is about 53.4980929241.

Adding to 153114 its reverse (411351), we get a palindrome (564465).

The spelling of 153114 in words is "one hundred fifty-three thousand, one hundred fourteen".