158245200 has 180 divisors, whose sum is σ = 555438780. Its totient is φ = 41717760.

The previous prime is 158245187. The next prime is 158245211. The reversal of 158245200 is 2542851.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 51494976 + 106750224 = 7176^2 + 10332^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 406606 + ... + 406994.

It is an arithmetic number, because the mean of its divisors is an integer number (3085771).

Almost surely, 2^158245200 is an apocalyptic number.

158245200 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 158245200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277719390).

158245200 is an abundant number, since it is smaller than the sum of its proper divisors (397193580).

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

158245200 is a wasteful number, since it uses less digits than its factorization.

158245200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 158245200 is about 12579.5548410904. The cubic root of 158245200 is about 540.8915314010.

The spelling of 158245200 in words is "one hundred fifty-eight million, two hundred forty-five thousand, two hundred".