145128287969280 has 6272 divisors, whose sum is σ = 712918371041280. Its totient is φ = 27427099115520.

The previous prime is 145128287969257. The next prime is 145128287969381. The reversal of 145128287969280 is 82969782821541.

145128287969280 is a `hidden beast` number, since 1 + 4 + 5 + 1 + 2 + 8 + 287 + 9 + 69 + 280 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 145128287969199 and 145128287969208.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 1837066936281 + ... + 1837066936359.

Almost surely, 2^{145128287969280} is an apocalyptic number.

145128287969280 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 145128287969280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356459185520640).

145128287969280 is an abundant number, since it is smaller than the sum of its proper divisors (567790083072000).

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

145128287969280 is an equidigital number, since it uses as much as digits as its factorization.

145128287969280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 72.

The spelling of 145128287969280 in words is "one hundred forty-five trillion, one hundred twenty-eight billion, two hundred eighty-seven million, nine hundred sixty-nine thousand, two hundred eighty".