158401920 has 256 divisors, whose sum is σ = 560494080. Its totient is φ = 37847040.

The previous prime is 158401889. The next prime is 158401951. The reversal of 158401920 is 29104851.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (158401889) and next prime (158401951).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 750615 + ... + 750825.

It is an arithmetic number, because the mean of its divisors is an integer number (2189430).

Almost surely, 2^158401920 is an apocalyptic number.

158401920 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 158401920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280247040).

158401920 is an abundant number, since it is smaller than the sum of its proper divisors (402092160).

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

158401920 is a wasteful number, since it uses less digits than its factorization.

158401920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 158401920 is about 12585.7824548178. The cubic root of 158401920 is about 541.0700319229.

The spelling of 158401920 in words is "one hundred fifty-eight million, four hundred one thousand, nine hundred twenty".