145809760320 has 168 divisors, whose sum is σ = 573171303744. Its totient is φ = 33327940608.

The previous prime is 145809760289. The next prime is 145809760333. The reversal of 145809760320 is 23067908541.

145809760320 is a `hidden beast` number, since 1 + 4 + 580 + 9 + 7 + 60 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3596154 + ... + 3636473.

It is a 1-persistent number, because it is pandigital, but 2⋅145809760320 = 291619520640 is not.

Almost surely, 2^145809760320 is an apocalyptic number.

145809760320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145809760320 is an abundant number, since it is smaller than the sum of its proper divisors (427361543424).

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

145809760320 is a wasteful number, since it uses less digits than its factorization.

145809760320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7232657 (or 7232644 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 145809760320 in words is "one hundred forty-five billion, eight hundred nine million, seven hundred sixty thousand, three hundred twenty".