158088400 has 60 divisors (see below), whose sum is σ = 387025452. Its totient is φ = 62033920.

The previous prime is 158088397. The next prime is 158088419. The reversal of 158088400 is 4880851.

It can be written as a sum of positive squares in 6 ways, for example, as 2637376 + 155451024 = 1624^2 + 12468^2 .

It is a congruent number.

It is an unprimeable number.

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, 17472 + ... + 24928.

Almost surely, 2^158088400 is an apocalyptic number.

158088400 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 158088400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193512726).

158088400 is an abundant number, since it is smaller than the sum of its proper divisors (228937052).

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

158088400 is a wasteful number, since it uses less digits than its factorization.

158088400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7528 (or 7517 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 34.

The square root of 158088400 is about 12573.3209614644. The cubic root of 158088400 is about 540.7128217783.

The spelling of 158088400 in words is "one hundred fifty-eight million, eighty-eight thousand, four hundred".