158726400 has 216 divisors, whose sum is σ = 599169984. Its totient is φ = 36249600.

The previous prime is 158726363. The next prime is 158726401. The reversal of 158726400 is 4627851.

It is not an unprimeable number, because it can be changed into a prime (158726401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133810 + ... + 134990.

Almost surely, 2^158726400 is an apocalyptic number.

158726400 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 158726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299584992).

158726400 is an abundant number, since it is smaller than the sum of its proper divisors (440443584).

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

158726400 is a wasteful number, since it uses less digits than its factorization.

158726400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 158726400 is about 12598.6665961125. Note that the first 3 decimals coincide. The cubic root of 158726400 is about 541.4392333820.

The spelling of 158726400 in words is "one hundred fifty-eight million, seven hundred twenty-six thousand, four hundred".