145991680 has 96 divisors (see below), whose sum is σ = 358230600. Its totient is φ = 57081856.

The previous prime is 145991663. The next prime is 145991683. The reversal of 145991680 is 86199541.

It can be written as a sum of positive squares in 4 ways, for example, as 97772544 + 48219136 = 9888^2 + 6944^2 .

It is not an unprimeable number, because it can be changed into a prime (145991683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 542586 + ... + 542854.

Almost surely, 2^145991680 is an apocalyptic number.

145991680 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 145991680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179115300).

145991680 is an abundant number, since it is smaller than the sum of its proper divisors (212238920).

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

145991680 is an equidigital number, since it uses as much as digits as its factorization.

145991680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 43.

The square root of 145991680 is about 12082.7016846399. The cubic root of 145991680 is about 526.5537403204.

It can be divided in two parts, 1459 and 91680, that added together give a palindrome (93139).

The spelling of 145991680 in words is "one hundred forty-five million, nine hundred ninety-one thousand, six hundred eighty".