145757978184 has 384 divisors, whose sum is σ = 496052121600. Its totient is φ = 35241454080.

The previous prime is 145757978183. The next prime is 145757978227. The reversal of 145757978184 is 481879757541.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (145757978183) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8996539 + ... + 9012725.

It is an arithmetic number, because the mean of its divisors is an integer number (1291802400).

Almost surely, 2^145757978184 is an apocalyptic number.

145757978184 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 145757978184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248026060800).

145757978184 is an abundant number, since it is smaller than the sum of its proper divisors (350294143416).

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

145757978184 is a wasteful number, since it uses less digits than its factorization.

145757978184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16273 (or 16262 counting only the distinct ones).

The product of its digits is 79027200, while the sum is 66.

The spelling of 145757978184 in words is "one hundred forty-five billion, seven hundred fifty-seven million, nine hundred seventy-eight thousand, one hundred eighty-four".