145164165120 has 896 divisors, whose sum is σ = 581295052800. Its totient is φ = 34101264384.

The previous prime is 145164165119. The next prime is 145164165121. The reversal of 145164165120 is 21561461541.

145164165120 is a `hidden beast` number, since 1 + 4 + 5 + 1 + 641 + 6 + 5 + 1 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (145164165119) and next prime (145164165121).

It is a super-2 number, since 2×145164165120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145164165121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 330669861 + ... + 330670299.

It is an arithmetic number, because the mean of its divisors is an integer number (648766800).

Almost surely, 2^145164165120 is an apocalyptic number.

145164165120 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 145164165120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290647526400).

145164165120 is an abundant number, since it is smaller than the sum of its proper divisors (436130887680).

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

145164165120 is a wasteful number, since it uses less digits than its factorization.

145164165120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 145164165120 in words is "one hundred forty-five billion, one hundred sixty-four million, one hundred sixty-five thousand, one hundred twenty".