154027146240 has 704 divisors, whose sum is σ = 601326720000. Its totient is φ = 37079285760.

The previous prime is 154027146197. The next prime is 154027146241. The reversal of 154027146240 is 42641720451.

154027146240 is a `hidden beast` number, since 1 + 5 + 4 + 0 + 27 + 1 + 4 + 624 + 0 = 666.

154027146240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-2 number, since 2×154027146240² (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 a junction number, because it is equal to n+sod(n) for n = 154027146195 and 154027146204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (154027146241) 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 63 ways as a sum of consecutive naturals, for example, 302607106 + ... + 302607614.

Almost surely, 2^154027146240 is an apocalyptic number.

154027146240 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 154027146240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300663360000).

154027146240 is an abundant number, since it is smaller than the sum of its proper divisors (447299573760).

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

154027146240 is a wasteful number, since it uses less digits than its factorization.

154027146240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Adding to 154027146240 its reverse (42641720451), we get a palindrome (196668866691).

The spelling of 154027146240 in words is "one hundred fifty-four billion, twenty-seven million, one hundred forty-six thousand, two hundred forty".