145661280 has 96 divisors (see below), whose sum is σ = 465230304. Its totient is φ = 38301696.

The previous prime is 145661279. The next prime is 145661293. The reversal of 145661280 is 82166541.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 32962 + ... + 37118.

It is an arithmetic number, because the mean of its divisors is an integer number (4846149).

Almost surely, 2^145661280 is an apocalyptic number.

145661280 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 145661280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232615152).

145661280 is an abundant number, since it is smaller than the sum of its proper divisors (319569024).

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

145661280 is a wasteful number, since it uses less digits than its factorization.

145661280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4248 (or 4240 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 145661280 is about 12069.0215013480. The cubic root of 145661280 is about 526.1562182077.

The spelling of 145661280 in words is "one hundred forty-five million, six hundred sixty-one thousand, two hundred eighty".