152967424 has 27 divisors (see below), whose sum is σ = 305732833. Its totient is φ = 76384768.

The previous prime is 152967421. The next prime is 152967467. The reversal of 152967424 is 424769251.

The square root of 152967424 is 12368.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 9734400 + 143233024 = 3120^2 + 11968^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (152967421) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 197502 + ... + 198274.

Almost surely, 2^152967424 is an apocalyptic number.

152967424 is the 12368-th square number.

It is an amenable number.

152967424 is a deficient number, since it is larger than the sum of its proper divisors (152765409).

152967424 is an frugal number, since it uses more digits than its factorization.

152967424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1562 (or 775 counting only the distinct ones).

The product of its digits is 120960, while the sum is 40.

The cubic root of 152967424 is about 534.8101623610.

The spelling of 152967424 in words is "one hundred fifty-two million, nine hundred sixty-seven thousand, four hundred twenty-four".