152449200 has 360 divisors, whose sum is σ = 582873408. Its totient is φ = 36741120.

The previous prime is 152449181. The next prime is 152449237. The reversal of 152449200 is 2944251.

152449200 is a `hidden beast` number, since 15 + 2 + 449 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2876374 + ... + 2876426.

Almost surely, 2^152449200 is an apocalyptic number.

152449200 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 152449200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291436704).

152449200 is an abundant number, since it is smaller than the sum of its proper divisors (430424208).

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

152449200 is a wasteful number, since it uses less digits than its factorization.

152449200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 152449200 is about 12347.0320320310. The cubic root of 152449200 is about 534.2055346496.

The spelling of 152449200 in words is "one hundred fifty-two million, four hundred forty-nine thousand, two hundred".