145869228960 has 1536 divisors, whose sum is σ = 646216704000. Its totient is φ = 27311800320.

The previous prime is 145869228931. The next prime is 145869228991. The reversal of 145869228960 is 69822968541.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 145869228894 and 145869228903.

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, 691323255 + ... + 691323465.

It is an arithmetic number, because the mean of its divisors is an integer number (420714000).

Almost surely, 2^145869228960 is an apocalyptic number.

145869228960 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 145869228960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323108352000).

145869228960 is an abundant number, since it is smaller than the sum of its proper divisors (500347475040).

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

145869228960 is a wasteful number, since it uses less digits than its factorization.

145869228960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 60.

The spelling of 145869228960 in words is "one hundred forty-five billion, eight hundred sixty-nine million, two hundred twenty-eight thousand, nine hundred sixty".