158990400 has 252 divisors, whose sum is σ = 577526404. Its totient is φ = 41472000.

The previous prime is 158990389. The next prime is 158990449. The reversal of 158990400 is 4099851.

It can be written as a sum of positive squares in 6 ways, for example, as 79281216 + 79709184 = 8904^2 + 8928^2 .

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

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, 878310 + ... + 878490.

Almost surely, 2^158990400 is an apocalyptic number.

158990400 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 158990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288763202).

158990400 is an abundant number, since it is smaller than the sum of its proper divisors (418536004).

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

158990400 is a wasteful number, since it uses less digits than its factorization.

158990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 158990400 is about 12609.1395424113. The cubic root of 158990400 is about 541.7392481306.

The spelling of 158990400 in words is "one hundred fifty-eight million, nine hundred ninety thousand, four hundred".