158600400 has 240 divisors, whose sum is σ = 590438400. Its totient is φ = 35642880.

The previous prime is 158600399. The next prime is 158600411. The reversal of 158600400 is 4006851.

158600400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 663481 + ... + 663719.

It is an arithmetic number, because the mean of its divisors is an integer number (2460160).

Almost surely, 2^158600400 is an apocalyptic number.

158600400 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 158600400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295219200).

158600400 is an abundant number, since it is smaller than the sum of its proper divisors (431838000).

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

158600400 is a wasteful number, since it uses less digits than its factorization.

158600400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 335 counting only the distinct ones).

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

The square root of 158600400 is about 12593.6650741553. The cubic root of 158600400 is about 541.2959272418.

The spelling of 158600400 in words is "one hundred fifty-eight million, six hundred thousand, four hundred".