152784252 has 48 divisors (see below), whose sum is σ = 399168000. Its totient is φ = 50534640.

The previous prime is 152784227. The next prime is 152784257. The reversal of 152784252 is 252487251.

It is a happy number.

152784252 is a `hidden beast` number, since 1 + 527 + 84 + 2 + 52 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152784257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8749 + ... + 19547.

It is an arithmetic number, because the mean of its divisors is an integer number (8316000).

Almost surely, 2^152784252 is an apocalyptic number.

152784252 is a gapful number since it is divisible by the number (12) 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 152784252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199584000).

152784252 is an abundant number, since it is smaller than the sum of its proper divisors (246383748).

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

152784252 is a wasteful number, since it uses less digits than its factorization.

152784252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10943 (or 10935 counting only the distinct ones).

The product of its digits is 44800, while the sum is 36.

The square root of 152784252 is about 12360.5927042355. The cubic root of 152784252 is about 534.5966062708.

The spelling of 152784252 in words is "one hundred fifty-two million, seven hundred eighty-four thousand, two hundred fifty-two".