145982880 has 72 divisors (see below), whose sum is σ = 498171492. Its totient is φ = 38928384.

The previous prime is 145982869. The next prime is 145982911. The reversal of 145982880 is 88289541.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 140280336 + 5702544 = 11844^2 + 2388^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×145982880³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49249 + ... + 52128.

Almost surely, 2^145982880 is an apocalyptic number.

145982880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145982880 is an abundant number, since it is smaller than the sum of its proper divisors (352188612).

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

145982880 is a wasteful number, since it uses less digits than its factorization.

145982880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101398 (or 101387 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 145982880 is about 12082.3375221850. The cubic root of 145982880 is about 526.5431603430.

The spelling of 145982880 in words is "one hundred forty-five million, nine hundred eighty-two thousand, eight hundred eighty".