40152 has 32 divisors (see below), whose sum is σ = 115200. Its totient is φ = 11424.

The previous prime is 40151. The next prime is 40153. The reversal of 40152 is 25104.

40152 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40151) and next prime (40153).

It is a super-2 number, since 2×40152² = 3224366208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 40152.

It is not an unprimeable number, because it can be changed into a prime (40151) 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, 49 + ... + 287.

It is an arithmetic number, because the mean of its divisors is an integer number (3600).

2⁴⁰¹⁵² is an apocalyptic number.

40152 is a gapful number since it is divisible by the number (42) 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 40152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57600).

40152 is an abundant number, since it is smaller than the sum of its proper divisors (75048).

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

40152 is a wasteful number, since it uses less digits than its factorization.

40152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 40152 is about 200.3796396843. The cubic root of 40152 is about 34.2427835685.

Adding to 40152 its reverse (25104), we get a palindrome (65256).

The spelling of 40152 in words is "forty thousand, one hundred fifty-two".