145126758585600 has 1620 divisors, whose sum is σ = 589164243700032. Its totient is φ = 35100615168000.

The previous prime is 145126758585583. The next prime is 145126758585631. The reversal of 145126758585600 is 6585857621541.

145126758585600 is a `hidden beast` number, since 1 + 4 + 5 + 1 + 2 + 67 + 5 + 8 + 5 + 8 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1620).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 336721017385 + ... + 336721017815.

Almost surely, 2^{145126758585600} is an apocalyptic number.

145126758585600 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 145126758585600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294582121850016).

145126758585600 is an abundant number, since it is smaller than the sum of its proper divisors (444037485114432).

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

145126758585600 is an frugal number, since it uses more digits than its factorization.

145126758585600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 80640000, while the sum is 63.

The spelling of 145126758585600 in words is "one hundred forty-five trillion, one hundred twenty-six billion, seven hundred fifty-eight million, five hundred eighty-five thousand, six hundred".