152440 has 32 divisors (see below), whose sum is σ = 355680. Its totient is φ = 58752.

The previous prime is 152429. The next prime is 152441. The reversal of 152440 is 44251.

152440 = 90² + 91² + ... + 105².

152440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152441) by changing a digit.

152440 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 7 ways as a sum of consecutive naturals, for example, 1429 + ... + 1531.

It is an arithmetic number, because the mean of its divisors is an integer number (11115).

2¹⁵²⁴⁴⁰ is an apocalyptic number.

152440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177840).

152440 is an abundant number, since it is smaller than the sum of its proper divisors (203240).

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

152440 is a wasteful number, since it uses less digits than its factorization.

152440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 152440 is about 390.4356541096. The cubic root of 152440 is about 53.4194788360.

Adding to 152440 its reverse (44251), we get a palindrome (196691).

It can be divided in two parts, 1 and 52440, that added together give a square (52441 = 229²).

The spelling of 152440 in words is "one hundred fifty-two thousand, four hundred forty".