145882774000 has 80 divisors (see below), whose sum is σ = 355866732000. Its totient is φ = 57836620800.

The previous prime is 145882773997. The next prime is 145882774157. The reversal of 145882774000 is 477288541.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96750 + ... + 548749.

It is an arithmetic number, because the mean of its divisors is an integer number (4448334150).

Almost surely, 2^145882774000 is an apocalyptic number.

145882774000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145882774000 is an abundant number, since it is smaller than the sum of its proper divisors (209983958000).

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

145882774000 is a wasteful number, since it uses less digits than its factorization.

145882774000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645635 (or 645619 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 46.

The spelling of 145882774000 in words is "one hundred forty-five billion, eight hundred eighty-two million, seven hundred seventy-four thousand".