151131021440 has 384 divisors, whose sum is σ = 439303979520. Its totient is φ = 49514250240.

The previous prime is 151131021407. The next prime is 151131021451. The reversal of 151131021440 is 44120131151.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80688344 + ... + 80690216.

It is an arithmetic number, because the mean of its divisors is an integer number (1144020780).

Almost surely, 2^151131021440 is an apocalyptic number.

151131021440 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 151131021440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219651989760).

151131021440 is an abundant number, since it is smaller than the sum of its proper divisors (288172958080).

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

151131021440 is a wasteful number, since it uses less digits than its factorization.

151131021440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2020 (or 2001 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

Adding to 151131021440 its reverse (44120131151), we get a palindrome (195251152591).

The spelling of 151131021440 in words is "one hundred fifty-one billion, one hundred thirty-one million, twenty-one thousand, four hundred forty".