145579680 has 240 divisors, whose sum is σ = 526901760. Its totient is φ = 37836288.

The previous prime is 145579669. The next prime is 145579697. The reversal of 145579680 is 86975541.

145579680 is a `hidden beast` number, since 1 + 4 + 557 + 96 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 609001 + ... + 609239.

It is an arithmetic number, because the mean of its divisors is an integer number (2195424).

Almost surely, 2^145579680 is an apocalyptic number.

145579680 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 145579680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263450880).

145579680 is an abundant number, since it is smaller than the sum of its proper divisors (381322080).

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

145579680 is a wasteful number, since it uses less digits than its factorization.

145579680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 145579680 is about 12065.6404720181. The cubic root of 145579680 is about 526.0579482871.

The spelling of 145579680 in words is "one hundred forty-five million, five hundred seventy-nine thousand, six hundred eighty".