154011328128 has 256 divisors, whose sum is σ = 522109440000. Its totient is φ = 43780746240.

The previous prime is 154011328127. The next prime is 154011328153. The reversal of 154011328128 is 821823110451.

It is a happy number.

154011328128 is a `hidden beast` number, since 1 + 540 + 1 + 1 + 32 + 81 + 2 + 8 = 666.

154011328128 is digitally balanced in base 2, because in such base 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 = 154011328092 and 154011328101.

It is not an unprimeable number, because it can be changed into a prime (154011328127) 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 31 ways as a sum of consecutive naturals, for example, 4798213 + ... + 4830203.

It is an arithmetic number, because the mean of its divisors is an integer number (2039490000).

Almost surely, 2^154011328128 is an apocalyptic number.

154011328128 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 154011328128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261054720000).

154011328128 is an abundant number, since it is smaller than the sum of its proper divisors (368098111872).

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

154011328128 is a wasteful number, since it uses less digits than its factorization.

154011328128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32220 (or 32202 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

Adding to 154011328128 its reverse (821823110451), we get a palindrome (975834438579).

The spelling of 154011328128 in words is "one hundred fifty-four billion, eleven million, three hundred twenty-eight thousand, one hundred twenty-eight".