145676307168 has 288 divisors, whose sum is σ = 499315864320. Its totient is φ = 40915445760.

The previous prime is 145676307151. The next prime is 145676307211. The reversal of 145676307168 is 861703676541.

145676307168 is a `hidden beast` number, since 1 + 4 + 567 + 6 + 3 + 0 + 71 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3188808 + ... + 3234168.

It is an arithmetic number, because the mean of its divisors is an integer number (1733735640).

Almost surely, 2^145676307168 is an apocalyptic number.

145676307168 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 145676307168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249657932160).

145676307168 is an abundant number, since it is smaller than the sum of its proper divisors (353639557152).

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

145676307168 is an equidigital number, since it uses as much as digits as its factorization.

145676307168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45452 (or 45432 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 145676307168 in words is "one hundred forty-five billion, six hundred seventy-six million, three hundred seven thousand, one hundred sixty-eight".