145545680 has 120 divisors (see below), whose sum is σ = 398465568. Its totient is φ = 49292544.

The previous prime is 145545671. The next prime is 145545689. The reversal of 145545680 is 86545541.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (145545671) and next prime (145545689).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145545689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 419267 + ... + 419613.

Almost surely, 2^145545680 is an apocalyptic number.

145545680 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 145545680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199232784).

145545680 is an abundant number, since it is smaller than the sum of its proper divisors (252919888).

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

145545680 is a wasteful number, since it uses less digits than its factorization.

145545680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 38.

The square root of 145545680 is about 12064.2314301409. The cubic root of 145545680 is about 526.0169916490.

The spelling of 145545680 in words is "one hundred forty-five million, five hundred forty-five thousand, six hundred eighty".