152352200 has 192 divisors, whose sum is σ = 476219520. Its totient is φ = 43776000.

The previous prime is 152352191. The next prime is 152352209. The reversal of 152352200 is 2253251.

152352200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (152352191) and next prime (152352209).

It is a super-2 number, since 2×152352200² = 46422385689680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (152352209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 199820 + ... + 200580.

It is an arithmetic number, because the mean of its divisors is an integer number (2480310).

Almost surely, 2^152352200 is an apocalyptic number.

152352200 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 152352200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238109760).

152352200 is an abundant number, since it is smaller than the sum of its proper divisors (323867320).

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

152352200 is a wasteful number, since it uses less digits than its factorization.

152352200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 152352200 is about 12343.1033374918. The cubic root of 152352200 is about 534.0922096186.

It can be divided in two parts, 152352 and 200, that multiplied together give a square (30470400 = 5520²).

The spelling of 152352200 in words is "one hundred fifty-two million, three hundred fifty-two thousand, two hundred".