152882640 has 100 divisors (see below), whose sum is σ = 531006564. Its totient is φ = 40766976.

The previous prime is 152882627. The next prime is 152882641. The reversal of 152882640 is 46288251.

152882640 is a `hidden beast` number, since 1 + 5 + 2 + 8 + 8 + 2 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 30735936 + 122146704 = 5544^2 + 11052^2 .

It is a super-2 number, since 2×152882640² = 46746203226739200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 152882595 and 152882604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152882641) 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 19 ways as a sum of consecutive naturals, for example, 5317 + ... + 18276.

Almost surely, 2^152882640 is an apocalyptic number.

152882640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152882640 is an abundant number, since it is smaller than the sum of its proper divisors (378123924).

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

152882640 is a wasteful number, since it uses less digits than its factorization.

152882640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23618 (or 23603 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 152882640 is about 12364.5719699470. The cubic root of 152882640 is about 534.7113358188.

The spelling of 152882640 in words is "one hundred fifty-two million, eight hundred eighty-two thousand, six hundred forty".