145784624743680 has 288 divisors, whose sum is σ = 504313385095296. Its totient is φ = 35678013652992.

The previous prime is 145784624743669. The next prime is 145784624743687. The reversal of 145784624743680 is 86347426487541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145784624743687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195799 + ... + 17076521.

It is an arithmetic number, because the mean of its divisors is an integer number (1751088142692).

Almost surely, 2^{145784624743680} is an apocalyptic number.

145784624743680 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 145784624743680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252156692547648).

145784624743680 is an abundant number, since it is smaller than the sum of its proper divisors (358528760351616).

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

145784624743680 is a wasteful number, since it uses less digits than its factorization.

145784624743680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16880933 (or 16880919 counting only the distinct ones).

The product of its (nonzero) digits is 867041280, while the sum is 69.

The spelling of 145784624743680 in words is "one hundred forty-five trillion, seven hundred eighty-four billion, six hundred twenty-four million, seven hundred forty-three thousand, six hundred eighty".