145164256164 has 96 divisors (see below), whose sum is σ = 398706013440. Its totient is φ = 45517054464.

The previous prime is 145164256123. The next prime is 145164256169. The reversal of 145164256164 is 461652461541.

145164256164 is a `hidden beast` number, since 1 + 4 + 5 + 1 + 6 + 4 + 25 + 616 + 4 = 666.

It is a super-2 number, since 2×145164256164² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (145164256169) 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, 3528537 + ... + 3569439.

It is an arithmetic number, because the mean of its divisors is an integer number (4153187640).

Almost surely, 2^145164256164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145164256164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199353006720).

145164256164 is an abundant number, since it is smaller than the sum of its proper divisors (253541757276).

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

145164256164 is a wasteful number, since it uses less digits than its factorization.

145164256164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42866 (or 42858 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The spelling of 145164256164 in words is "one hundred forty-five billion, one hundred sixty-four million, two hundred fifty-six thousand, one hundred sixty-four".