145551168 has 252 divisors, whose sum is σ = 505919232. Its totient is φ = 41368320.

The previous prime is 145551157. The next prime is 145551193. The reversal of 145551168 is 861155541.

145551168 is a `hidden beast` number, since 1 + 45 + 551 + 1 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

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

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 761953 + ... + 762143.

It is an arithmetic number, because the mean of its divisors is an integer number (2007616).

Almost surely, 2^145551168 is an apocalyptic number.

145551168 is a gapful number since it is divisible by the number (18) 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 145551168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252959616).

145551168 is an abundant number, since it is smaller than the sum of its proper divisors (360368064).

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

145551168 is an equidigital number, since it uses as much as digits as its factorization.

145551168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 203 counting only the distinct ones).

The product of its digits is 24000, while the sum is 36.

The square root of 145551168 is about 12064.4588772145. The cubic root of 145551168 is about 526.0236029639.

The spelling of 145551168 in words is "one hundred forty-five million, five hundred fifty-one thousand, one hundred sixty-eight".