151164461151 has 24 divisors (see below), whose sum is σ = 239912225280. Its totient is φ = 90955717200.

The previous prime is 151164461087. The next prime is 151164461167.

151164461151 is a `hidden beast` number, since 1 + 5 + 1 + 1 + 644 + 6 + 1 + 1 + 5 + 1 = 666.

151164461151 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 151164461151 - 2⁶ = 151164461087 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151164461951) by changing a digit.

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, 5478735 + ... + 5506256.

It is an arithmetic number, because the mean of its divisors is an integer number (9996342720).

Almost surely, 2^151164461151 is an apocalyptic number.

151164461151 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

151164461151 is a deficient number, since it is larger than the sum of its proper divisors (88747764129).

151164461151 is a wasteful number, since it uses less digits than its factorization.

151164461151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10985147 (or 10985144 counting only the distinct ones).

The product of its digits is 14400, while the sum is 36.

The spelling of 151164461151 in words is "one hundred fifty-one billion, one hundred sixty-four million, four hundred sixty-one thousand, one hundred fifty-one".