152442400 has 144 divisors (see below), whose sum is σ = 430284960. Its totient is φ = 52121600.

The previous prime is 152442391. The next prime is 152442403. The reversal of 152442400 is 4244251.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (152442403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149091 + ... + 150109.

It is an arithmetic number, because the mean of its divisors is an integer number (2988090).

Almost surely, 2^152442400 is an apocalyptic number.

152442400 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 152442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215142480).

152442400 is an abundant number, since it is smaller than the sum of its proper divisors (277842560).

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

152442400 is a wasteful number, since it uses less digits than its factorization.

152442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 152442400 is about 12346.7566591393. The cubic root of 152442400 is about 534.1975917816.

Adding to 152442400 its reverse (4244251), we get a palindrome (156686651).

The spelling of 152442400 in words is "one hundred fifty-two million, four hundred forty-two thousand, four hundred".