145028762688960 has 168 divisors, whose sum is σ = 498894508198320. Its totient is φ = 38669995634688.

The previous prime is 145028762688907. The next prime is 145028762688961. The reversal of 145028762688960 is 69886267820541.

145028762688960 is a `hidden beast` number, since 1 + 4 + 5 + 0 + 287 + 6 + 268 + 89 + 6 + 0 = 666.

145028762688960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145028762688961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22876476 + ... + 28520004.

Almost surely, 2^{145028762688960} is an apocalyptic number.

145028762688960 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 145028762688960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249447254099160).

145028762688960 is an abundant number, since it is smaller than the sum of its proper divisors (353865745509360).

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

145028762688960 is a wasteful number, since it uses less digits than its factorization.

145028762688960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5652475 (or 5652462 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 72.

The spelling of 145028762688960 in words is "one hundred forty-five trillion, twenty-eight billion, seven hundred sixty-two million, six hundred eighty-eight thousand, nine hundred sixty".