151127631424 has 168 divisors, whose sum is σ = 402958413792. Its totient is φ = 55417098240.

The previous prime is 151127631401. The next prime is 151127631439. The reversal of 151127631424 is 424136721151.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 457579 + ... + 715285.

Almost surely, 2^151127631424 is an apocalyptic number.

151127631424 is a gapful number since it is divisible by the number (14) 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 151127631424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201479206896).

151127631424 is an abundant number, since it is smaller than the sum of its proper divisors (251830782368).

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

151127631424 is a wasteful number, since it uses less digits than its factorization.

151127631424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257761 (or 257744 counting only the distinct ones).

The product of its digits is 40320, while the sum is 37.

The spelling of 151127631424 in words is "one hundred fifty-one billion, one hundred twenty-seven million, six hundred thirty-one thousand, four hundred twenty-four".