152198323200 has 1584 divisors, whose sum is σ = 710848359936. Its totient is φ = 30169497600.

The previous prime is 152198323183. The next prime is 152198323229. The reversal of 152198323200 is 2323891251.

152198323200 is a `hidden beast` number, since 1 + 521 + 98 + 3 + 23 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 408038214 + ... + 408038586.

It is an arithmetic number, because the mean of its divisors is an integer number (448767904).

Almost surely, 2^152198323200 is an apocalyptic number.

152198323200 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 152198323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355424179968).

152198323200 is an abundant number, since it is smaller than the sum of its proper divisors (558650036736).

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

152198323200 is a wasteful number, since it uses less digits than its factorization.

152198323200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 152198323200 in words is "one hundred fifty-two billion, one hundred ninety-eight million, three hundred twenty-three thousand, two hundred".