152240000 has 160 divisors (see below), whose sum is σ = 415835640. Its totient is φ = 55040000.

The previous prime is 152239999. The next prime is 152240021. The reversal of 152240000 is 42251.

152240000 is nontrivially palindromic in base 7.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 879914 + ... + 880086.

Almost surely, 2^152240000 is an apocalyptic number.

152240000 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 152240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207917820).

152240000 is an abundant number, since it is smaller than the sum of its proper divisors (263595640).

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

152240000 is an equidigital number, since it uses as much as digits as its factorization.

152240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 152240000 is about 12338.5574521497. The cubic root of 152240000 is about 533.9610664241.

Adding to 152240000 its reverse (42251), we get a palindrome (152282251).

The spelling of 152240000 in words is "one hundred fifty-two million, two hundred forty thousand".