145079968320 has 420 divisors, whose sum is σ = 600337364220. Its totient is φ = 33160845312.

The previous prime is 145079968301. The next prime is 145079968337. The reversal of 145079968320 is 23869970541.

145079968320 is a `hidden beast` number, since 1 + 450 + 7 + 9 + 96 + 83 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 87526039104 + 57553929216 = 295848^2 + 239904^2 .

It is a tau number, because it is divible by the number of its divisors (420).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1212966 + ... + 1327194.

It is a 1-persistent number, because it is pandigital, but 2⋅145079968320 = 290159936640 is not.

Almost surely, 2^145079968320 is an apocalyptic number.

145079968320 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 145079968320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300168682110).

145079968320 is an abundant number, since it is smaller than the sum of its proper divisors (455257395900).

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

145079968320 is a wasteful number, since it uses less digits than its factorization.

145079968320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114272 (or 114246 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 145079968320 in words is "one hundred forty-five billion, seventy-nine million, nine hundred sixty-eight thousand, three hundred twenty".