152004684 has 72 divisors (see below), whose sum is σ = 406743120. Its totient is φ = 44009472.

The previous prime is 152004683. The next prime is 152004691. The reversal of 152004684 is 486400251.

It is not an unprimeable number, because it can be changed into a prime (152004683) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32272 + ... + 36680.

It is an arithmetic number, because the mean of its divisors is an integer number (5649210).

Almost surely, 2^152004684 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152004684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203371560).

152004684 is an abundant number, since it is smaller than the sum of its proper divisors (254738436).

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

152004684 is a wasteful number, since it uses less digits than its factorization.

152004684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4459 (or 4444 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 152004684 is about 12329.0179657587. The cubic root of 152004684 is about 533.6858116150.

The spelling of 152004684 in words is "one hundred fifty-two million, four thousand, six hundred eighty-four".