152005200 has 120 divisors (see below), whose sum is σ = 490156128. Its totient is φ = 40266240.

The previous prime is 152005171. The next prime is 152005201. The reversal of 152005200 is 2500251.

152005200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 152005200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152005201) 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, 236079 + ... + 236721.

Almost surely, 2^152005200 is an apocalyptic number.

152005200 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 152005200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245078064).

152005200 is an abundant number, since it is smaller than the sum of its proper divisors (338150928).

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

152005200 is a wasteful number, since it uses less digits than its factorization.

152005200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 152005200 is about 12329.0388919818. The cubic root of 152005200 is about 533.6864155033.

Adding to 152005200 its reverse (2500251), we get a palindrome (154505451).

The spelling of 152005200 in words is "one hundred fifty-two million, five thousand, two hundred".