145682880 has 336 divisors, whose sum is σ = 569854080. Its totient is φ = 31352832.

The previous prime is 145682869. The next prime is 145682941. The reversal of 145682880 is 88286541.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×145682880³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 893679 + ... + 893841.

Almost surely, 2^145682880 is an apocalyptic number.

145682880 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 145682880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284927040).

145682880 is an abundant number, since it is smaller than the sum of its proper divisors (424171200).

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

145682880 is a wasteful number, since it uses less digits than its factorization.

145682880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The square root of 145682880 is about 12069.9163211681. The cubic root of 145682880 is about 526.1822246902.

The spelling of 145682880 in words is "one hundred forty-five million, six hundred eighty-two thousand, eight hundred eighty".