164145131151 has 32 divisors (see below), whose sum is σ = 232283040000. Its totient is φ = 102816822528.

The previous prime is 164145131123. The next prime is 164145131197. The reversal of 164145131151 is 151131541461.

It is a happy number.

It is not a de Polignac number, because 164145131151 - 2¹⁴ = 164145114767 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164145131851) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4012800 + ... + 4053498.

It is an arithmetic number, because the mean of its divisors is an integer number (7258845000).

Almost surely, 2^164145131151 is an apocalyptic number.

164145131151 is a deficient number, since it is larger than the sum of its proper divisors (68137908849).

164145131151 is a wasteful number, since it uses less digits than its factorization.

164145131151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41303.

The product of its digits is 7200, while the sum is 33.

It can be divided in two parts, 164145 and 131151, that added together give a triangular number (295296 = T₇₆₈).

The spelling of 164145131151 in words is "one hundred sixty-four billion, one hundred forty-five million, one hundred thirty-one thousand, one hundred fifty-one".