158006400 has 192 divisors, whose sum is σ = 528686400. Its totient is φ = 41472000.

The previous prime is 158006393. The next prime is 158006419. The reversal of 158006400 is 4600851.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 23 ways as a sum of consecutive naturals, for example, 1046325 + ... + 1046475.

It is an arithmetic number, because the mean of its divisors is an integer number (2753575).

Almost surely, 2^158006400 is an apocalyptic number.

158006400 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 158006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264343200).

158006400 is an abundant number, since it is smaller than the sum of its proper divisors (370680000).

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

158006400 is a wasteful number, since it uses less digits than its factorization.

158006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 158006400 is about 12570.0596657295. The cubic root of 158006400 is about 540.6193168792.

The spelling of 158006400 in words is "one hundred fifty-eight million, six thousand, four hundred".