158350400 has 168 divisors, whose sum is σ = 439180224. Its totient is φ = 55756800.

The previous prime is 158350399. The next prime is 158350421. The reversal of 158350400 is 4053851.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 158350400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 478235 + ... + 478565.

It is an arithmetic number, because the mean of its divisors is an integer number (2614168).

Almost surely, 2^158350400 is an apocalyptic number.

158350400 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 158350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219590112).

158350400 is an abundant number, since it is smaller than the sum of its proper divisors (280829824).

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

158350400 is a wasteful number, since it uses less digits than its factorization.

158350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 158350400 is about 12583.7355344111. The cubic root of 158350400 is about 541.0113648083.

The spelling of 158350400 in words is "one hundred fifty-eight million, three hundred fifty thousand, four hundred".