152400585 has 16 divisors (see below), whose sum is σ = 243996480. Its totient is φ = 81228480.

The previous prime is 152400583. The next prime is 152400587. The reversal of 152400585 is 585004251.

It is an interprime number because it is at equal distance from previous prime (152400583) and next prime (152400587).

It is not a de Polignac number, because 152400585 - 2¹ = 152400583 is a prime.

It is not an unprimeable number, because it can be changed into a prime (152400583) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 37975 + ... + 41795.

It is an arithmetic number, because the mean of its divisors is an integer number (15249780).

Almost surely, 2^152400585 is an apocalyptic number.

152400585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

152400585 is a deficient number, since it is larger than the sum of its proper divisors (91595895).

152400585 is a wasteful number, since it uses less digits than its factorization.

152400585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6488.

The product of its (nonzero) digits is 8000, while the sum is 30.

The square root of 152400585 is about 12345.0631833134. The cubic root of 152400585 is about 534.1487437904.

The spelling of 152400585 in words is "one hundred fifty-two million, four hundred thousand, five hundred eighty-five".