158894400 has 168 divisors, whose sum is σ = 595904320. Its totient is φ = 36311040.

The previous prime is 158894387. The next prime is 158894401. The reversal of 158894400 is 4498851.

It is a tau number, because it is divible by the number of its divisors (168).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (158894401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31236 + ... + 35964.

Almost surely, 2^158894400 is an apocalyptic number.

158894400 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 158894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297952160).

158894400 is an abundant number, since it is smaller than the sum of its proper divisors (437009920).

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

158894400 is a wasteful number, since it uses less digits than its factorization.

158894400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4761 (or 4746 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 158894400 is about 12605.3322050631. The cubic root of 158894400 is about 541.6301903116.

The spelling of 158894400 in words is "one hundred fifty-eight million, eight hundred ninety-four thousand, four hundred".