145520686080 has 2112 divisors, whose sum is σ = 686691532800. Its totient is φ = 29262643200.

The previous prime is 145520686033. The next prime is 145520686099. The reversal of 145520686080 is 80686025541.

145520686080 is a `hidden beast` number, since 1 + 4 + 5 + 520 + 68 + 60 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4694215665 + ... + 4694215695.

Almost surely, 2^145520686080 is an apocalyptic number.

145520686080 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 145520686080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343345766400).

145520686080 is an abundant number, since it is smaller than the sum of its proper divisors (541170846720).

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

145520686080 is an equidigital number, since it uses as much as digits as its factorization.

145520686080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 145520686080 in words is "one hundred forty-five billion, five hundred twenty million, six hundred eighty-six thousand, eighty".