152157824 has 64 divisors (see below), whose sum is σ = 373107840. Its totient is φ = 60189696.

The previous prime is 152157823. The next prime is 152157829. The reversal of 152157824 is 428751251.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (152157821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5117 + ... + 18179.

It is an arithmetic number, because the mean of its divisors is an integer number (5829810).

Almost surely, 2^152157824 is an apocalyptic number.

152157824 is a gapful number since it is divisible by the number (14) 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 152157824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186553920).

152157824 is an abundant number, since it is smaller than the sum of its proper divisors (220950016).

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

152157824 is a wasteful number, since it uses less digits than its factorization.

152157824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13097 (or 13085 counting only the distinct ones).

The product of its digits is 22400, while the sum is 35.

The square root of 152157824 is about 12335.2269537289. The cubic root of 152157824 is about 533.8649754233.

The spelling of 152157824 in words is "one hundred fifty-two million, one hundred fifty-seven thousand, eight hundred twenty-four".