145842016320 has 2520 divisors, whose sum is σ = 724146763032. Its totient is φ = 27590492160.

The previous prime is 145842016319. The next prime is 145842016339. The reversal of 145842016320 is 23610248541.

It is a happy number.

145842016320 is a `hidden beast` number, since 1 + 4 + 58 + 420 + 163 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3719048256 + 142122968064 = 60984^2 + 376992^2 .

It is a tau number, because it is divible by the number of its divisors (2520).

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

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 1997835804 + ... + 1997835876.

Almost surely, 2^145842016320 is an apocalyptic number.

145842016320 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 145842016320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362073381516).

145842016320 is an abundant number, since it is smaller than the sum of its proper divisors (578304746712).

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

145842016320 is a wasteful number, since it uses less digits than its factorization.

145842016320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 145842016320 in words is "one hundred forty-five billion, eight hundred forty-two million, sixteen thousand, three hundred twenty".