145885753728 has 1008 divisors, whose sum is σ = 533102639940. Its totient is φ = 39400058880.

The previous prime is 145885753709. The next prime is 145885753747. The reversal of 145885753728 is 827357588541.

145885753728 is a `hidden beast` number, since 1 + 4 + 5 + 8 + 8 + 575 + 37 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (145885753709) and next prime (145885753747).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 5030543218 + ... + 5030543246.

Almost surely, 2^145885753728 is an apocalyptic number.

145885753728 is a gapful number since it is divisible by the number (18) 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 145885753728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266551319970).

145885753728 is an abundant number, since it is smaller than the sum of its proper divisors (387216886212).

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

145885753728 is an equidigital number, since it uses as much as digits as its factorization.

145885753728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 58 counting only the distinct ones).

The product of its digits is 75264000, while the sum is 63.

The spelling of 145885753728 in words is "one hundred forty-five billion, eight hundred eighty-five million, seven hundred fifty-three thousand, seven hundred twenty-eight".