152802900 has 162 divisors, whose sum is σ = 495779466. Its totient is φ = 39360000.

The previous prime is 152802893. The next prime is 152802901. The reversal of 152802900 is 9208251.

It can be written as a sum of positive squares in 9 ways, for example, as 79495056 + 73307844 = 8916^2 + 8562^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152802901) 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 53 ways as a sum of consecutive naturals, for example, 1512850 + ... + 1512950.

Almost surely, 2^152802900 is an apocalyptic number.

152802900 is a gapful number since it is divisible by the number (10) 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 152802900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247889733).

152802900 is an abundant number, since it is smaller than the sum of its proper divisors (342976566).

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

152802900 is a wasteful number, since it uses less digits than its factorization.

152802900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 152802900 is about 12361.3470139787. The cubic root of 152802900 is about 534.6183553534.

The spelling of 152802900 in words is "one hundred fifty-two million, eight hundred two thousand, nine hundred".