152551200 has 144 divisors (see below), whose sum is σ = 525903840. Its totient is φ = 38277120.

The previous prime is 152551199. The next prime is 152551207. The reversal of 152551200 is 2155251.

152551200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (152551207) 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, 38931 + ... + 42669.

It is an arithmetic number, because the mean of its divisors is an integer number (3652110).

Almost surely, 2^152551200 is an apocalyptic number.

152551200 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 152551200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262951920).

152551200 is an abundant number, since it is smaller than the sum of its proper divisors (373352640).

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

152551200 is a wasteful number, since it uses less digits than its factorization.

152551200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3779 (or 3766 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 21.

The square root of 152551200 is about 12351.1618886646. The cubic root of 152551200 is about 534.3246493375.

It can be divided in two parts, 1525 and 51200, that added together give a palindrome (52725).

The spelling of 152551200 in words is "one hundred fifty-two million, five hundred fifty-one thousand, two hundred".