158753301120 has 768 divisors, whose sum is σ = 594255916800. Its totient is φ = 38947848192.

The previous prime is 158753301089. The next prime is 158753301139. The reversal of 158753301120 is 21103357851.

It is a happy number.

158753301120 is a `hidden beast` number, since 1 + 5 + 8 + 7 + 533 + 0 + 112 + 0 = 666.

It is a super-2 number, since 2×158753301120² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 681344524 + ... + 681344756.

It is an arithmetic number, because the mean of its divisors is an integer number (773770725).

Almost surely, 2^158753301120 is an apocalyptic number.

158753301120 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 158753301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297127958400).

158753301120 is an abundant number, since it is smaller than the sum of its proper divisors (435502615680).

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

158753301120 is a wasteful number, since it uses less digits than its factorization.

158753301120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

Adding to 158753301120 its reverse (21103357851), we get a palindrome (179856658971).

The spelling of 158753301120 in words is "one hundred fifty-eight billion, seven hundred fifty-three million, three hundred one thousand, one hundred twenty".