152040 has 64 divisors (see below), whose sum is σ = 524160. Its totient is φ = 34560.

The previous prime is 152039. The next prime is 152041. The reversal of 152040 is 40251.

152040 = T₇ + T₈ + ... + T₉₆.

It is an interprime number because it is at equal distance from previous prime (152039) and next prime (152041).

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 152040.

It is not an unprimeable number, because it can be changed into a prime (152041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 750 + ... + 930.

It is an arithmetic number, because the mean of its divisors is an integer number (8190).

2¹⁵²⁰⁴⁰ is an apocalyptic number.

152040 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 152040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262080).

152040 is an abundant number, since it is smaller than the sum of its proper divisors (372120).

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

152040 is a wasteful number, since it uses less digits than its factorization.

152040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 198 counting only the distinct ones).

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

The square root of 152040 is about 389.9230693355. The cubic root of 152040 is about 53.3727139703.

Adding to 152040 its reverse (40251), we get a palindrome (192291).

The spelling of 152040 in words is "one hundred fifty-two thousand, forty".