153911140128 has 576 divisors, whose sum is σ = 484009344000. Its totient is φ = 46279434240.

The previous prime is 153911140121. The next prime is 153911140133. The reversal of 153911140128 is 821041119351.

153911140128 is a `hidden beast` number, since 1 + 5 + 391 + 1 + 140 + 128 = 666.

153911140128 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 153911140092 and 153911140101.

It is not an unprimeable number, because it can be changed into a prime (153911140121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1032960598 + ... + 1032960746.

It is an arithmetic number, because the mean of its divisors is an integer number (840294000).

Almost surely, 2^153911140128 is an apocalyptic number.

153911140128 is a gapful number since it is divisible by the number (18) 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 153911140128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242004672000).

153911140128 is an abundant number, since it is smaller than the sum of its proper divisors (330098203872).

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

153911140128 is a wasteful number, since it uses less digits than its factorization.

153911140128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

Adding to 153911140128 its reverse (821041119351), we get a palindrome (974952259479).

The spelling of 153911140128 in words is "one hundred fifty-three billion, nine hundred eleven million, one hundred forty thousand, one hundred twenty-eight".