152538960 has 320 divisors, whose sum is σ = 589248000. Its totient is φ = 32514048.

The previous prime is 152538937. The next prime is 152539007. The reversal of 152538960 is 69835251.

152538960 is nontrivially palindromic in base 13.

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 63 ways as a sum of consecutive naturals, for example, 1399386 + ... + 1399494.

It is an arithmetic number, because the mean of its divisors is an integer number (1841400).

Almost surely, 2^152538960 is an apocalyptic number.

152538960 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 152538960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294624000).

152538960 is an abundant number, since it is smaller than the sum of its proper divisors (436709040).

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

152538960 is a wasteful number, since it uses less digits than its factorization.

152538960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The square root of 152538960 is about 12350.6663787830. Note that the first 3 decimals coincide. The cubic root of 152538960 is about 534.3103583790.

The spelling of 152538960 in words is "one hundred fifty-two million, five hundred thirty-eight thousand, nine hundred sixty".