145447580256 has 48 divisors (see below), whose sum is σ = 416508982848. Its totient is φ = 44075024000.

The previous prime is 145447580227. The next prime is 145447580263. The reversal of 145447580256 is 652085744541.

145447580256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×145447580256² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145447580199 and 145447580208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68866170 + ... + 68868281.

It is an arithmetic number, because the mean of its divisors is an integer number (8677270476).

Almost surely, 2^145447580256 is an apocalyptic number.

145447580256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

145447580256 is an abundant number, since it is smaller than the sum of its proper divisors (271061402592).

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

145447580256 is a wasteful number, since it uses less digits than its factorization.

145447580256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137734475 (or 137734467 counting only the distinct ones).

The product of its (nonzero) digits is 5376000, while the sum is 51.

The spelling of 145447580256 in words is "one hundred forty-five billion, four hundred forty-seven million, five hundred eighty thousand, two hundred fifty-six".