145720485681764 has 96 divisors (see below), whose sum is σ = 301745593712640. Its totient is φ = 60255692640000.

The previous prime is 145720485681721. The next prime is 145720485681773. The reversal of 145720485681764 is 467186584027541.

145720485681764 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 145720485681694 and 145720485681703.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1184648264 + ... + 1184771264.

It is an arithmetic number, because the mean of its divisors is an integer number (3143183267840).

Almost surely, 2^{145720485681764} is an apocalyptic number.

145720485681764 is a gapful number since it is divisible by the number (14) 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 145720485681764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150872796856320).

145720485681764 is an abundant number, since it is smaller than the sum of its proper divisors (156025108030876).

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

145720485681764 is a wasteful number, since it uses less digits than its factorization.

145720485681764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127129 (or 127127 counting only the distinct ones).

The product of its (nonzero) digits is 361267200, while the sum is 68.

The spelling of 145720485681764 in words is "one hundred forty-five trillion, seven hundred twenty billion, four hundred eighty-five million, six hundred eighty-one thousand, seven hundred sixty-four".