151505401140 has 72 divisors (see below), whose sum is σ = 486599709960. Its totient is φ = 38024884224.

The previous prime is 151505401121. The next prime is 151505401141. The reversal of 151505401140 is 41104505151.

151505401140 is a `hidden beast` number, since 1 + 5 + 1 + 5 + 0 + 540 + 114 + 0 = 666.

151505401140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 50633100324 + 100872300816 = 225018^2 + 317604^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151505401141) 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 23 ways as a sum of consecutive naturals, for example, 24752725 + ... + 24758844.

It is an arithmetic number, because the mean of its divisors is an integer number (6758329305).

Almost surely, 2^151505401140 is an apocalyptic number.

151505401140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151505401140 is an abundant number, since it is smaller than the sum of its proper divisors (335094308820).

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

151505401140 is a wasteful number, since it uses less digits than its factorization.

151505401140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49511601 (or 49511596 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

Adding to 151505401140 its reverse (41104505151), we get a palindrome (192609906291).

The spelling of 151505401140 in words is "one hundred fifty-one billion, five hundred five million, four hundred one thousand, one hundred forty".