145565771878736 has 120 divisors (see below), whose sum is σ = 314900131351680. Its totient is φ = 64646164710400.

The previous prime is 145565771878721. The next prime is 145565771878757. The reversal of 145565771878736 is 637878177565541.

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 23 ways as a sum of consecutive naturals, for example, 117541796 + ... + 118773756.

It is an arithmetic number, because the mean of its divisors is an integer number (2624167761264).

Almost surely, 2^{145565771878736} is an apocalyptic number.

145565771878736 is a gapful number since it is divisible by the number (16) 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 145565771878736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157450065675840).

145565771878736 is an abundant number, since it is smaller than the sum of its proper divisors (169334359472944).

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

145565771878736 is a wasteful number, since it uses less digits than its factorization.

145565771878736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232325 (or 1232266 counting only the distinct ones).

The product of its digits is 8297856000, while the sum is 80.

The spelling of 145565771878736 in words is "one hundred forty-five trillion, five hundred sixty-five billion, seven hundred seventy-one million, eight hundred seventy-eight thousand, seven hundred thirty-six".