145161438240 has 1536 divisors, whose sum is σ = 624269721600. Its totient is φ = 27517501440.

The previous prime is 145161438221. The next prime is 145161438251. The reversal of 145161438240 is 42834161541.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1837486521 + ... + 1837486599.

It is an arithmetic number, because the mean of its divisors is an integer number (406425600).

Almost surely, 2^145161438240 is an apocalyptic number.

145161438240 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 145161438240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312134860800).

145161438240 is an abundant number, since it is smaller than the sum of its proper divisors (479108283360).

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

145161438240 is a wasteful number, since it uses less digits than its factorization.

145161438240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

Adding to 145161438240 its reverse (42834161541), we get a palindrome (187995599781).

The spelling of 145161438240 in words is "one hundred forty-five billion, one hundred sixty-one million, four hundred thirty-eight thousand, two hundred forty".