158355120 has 480 divisors, whose sum is σ = 664957440. Its totient is φ = 30412800.

The previous prime is 158355107. The next prime is 158355143. The reversal of 158355120 is 21553851.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3862300 + ... + 3862340.

It is an arithmetic number, because the mean of its divisors is an integer number (1385328).

Almost surely, 2^158355120 is an apocalyptic number.

158355120 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 158355120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332478720).

158355120 is an abundant number, since it is smaller than the sum of its proper divisors (506602320).

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

158355120 is a wasteful number, since it uses less digits than its factorization.

158355120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

The square root of 158355120 is about 12583.9230766880. The cubic root of 158355120 is about 541.0167401200.

The spelling of 158355120 in words is "one hundred fifty-eight million, three hundred fifty-five thousand, one hundred twenty".