158910400 has 84 divisors (see below), whose sum is σ = 426613320. Its totient is φ = 57779200.

The previous prime is 158910341. The next prime is 158910403. The reversal of 158910400 is 4019851.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (158910403) 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 11 ways as a sum of consecutive naturals, for example, 13086 + ... + 22114.

It is an arithmetic number, because the mean of its divisors is an integer number (5078730).

Almost surely, 2^158910400 is an apocalyptic number.

158910400 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 158910400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213306660).

158910400 is an abundant number, since it is smaller than the sum of its proper divisors (267702920).

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

158910400 is a wasteful number, since it uses less digits than its factorization.

158910400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9062 (or 9047 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 28.

The square root of 158910400 is about 12605.9668411431. The cubic root of 158910400 is about 541.6483696647.

The spelling of 158910400 in words is "one hundred fifty-eight million, nine hundred ten thousand, four hundred".