158746320 has 120 divisors (see below), whose sum is σ = 538856136. Its totient is φ = 41877504.

The previous prime is 158746283. The next prime is 158746327. The reversal of 158746320 is 23647851.

158746320 is a `hidden beast` number, since 1 + 587 + 46 + 32 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 39237696 + 119508624 = 6264^2 + 10932^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×158746320² = 50400788227084800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (158746327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68704 + ... + 70976.

Almost surely, 2^158746320 is an apocalyptic number.

158746320 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 158746320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269428068).

158746320 is an abundant number, since it is smaller than the sum of its proper divisors (380109816).

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

158746320 is a wasteful number, since it uses less digits than its factorization.

158746320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2389 (or 2380 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 158746320 is about 12599.4571311624. The cubic root of 158746320 is about 541.4618824569.

The spelling of 158746320 in words is "one hundred fifty-eight million, seven hundred forty-six thousand, three hundred twenty".