158401320 has 384 divisors, whose sum is σ = 630374400. Its totient is φ = 31449600.

The previous prime is 158401301. The next prime is 158401381. The reversal of 158401320 is 23104851.

It is a super-3 number, since 3×158401320³ (a number of 26 digits) contains 333 as substring.

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

It is a congruent number.

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, 2005041 + ... + 2005119.

It is an arithmetic number, because the mean of its divisors is an integer number (1641600).

Almost surely, 2^158401320 is an apocalyptic number.

158401320 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 158401320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315187200).

158401320 is an abundant number, since it is smaller than the sum of its proper divisors (471973080).

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

158401320 is a wasteful number, since it uses less digits than its factorization.

158401320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 138 counting only the distinct ones).

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

The square root of 158401320 is about 12585.7586183750. The cubic root of 158401320 is about 541.0693487611.

The spelling of 158401320 in words is "one hundred fifty-eight million, four hundred one thousand, three hundred twenty".