158293137488640 has 1728 divisors, whose sum is σ = 677670925747200. Its totient is φ = 30733180600320.

The previous prime is 158293137488623. The next prime is 158293137488677. The reversal of 158293137488640 is 46884731392851.

It is a super-2 number, since 2×158293137488640² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4511172216 + ... + 4511207304.

It is a 2-persistent number, because it is pandigital, and so is 2⋅158293137488640 = 316586274977280, but 3⋅158293137488640 = 474879412465920 is not.

Almost surely, 2^{158293137488640} is an apocalyptic number.

158293137488640 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 158293137488640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338835462873600).

158293137488640 is an abundant number, since it is smaller than the sum of its proper divisors (519377788258560).

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

158293137488640 is a wasteful number, since it uses less digits than its factorization.

158293137488640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35234 (or 35209 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 69.

The spelling of 158293137488640 in words is "one hundred fifty-eight trillion, two hundred ninety-three billion, one hundred thirty-seven million, four hundred eighty-eight thousand, six hundred forty".