145671680 has 160 divisors (see below), whose sum is σ = 436043520. Its totient is φ = 45342720.

The previous prime is 145671661. The next prime is 145671683. The reversal of 145671680 is 86176541.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145671683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196751 + ... + 197489.

It is an arithmetic number, because the mean of its divisors is an integer number (2725272).

Almost surely, 2^145671680 is an apocalyptic number.

145671680 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 145671680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218021760).

145671680 is an abundant number, since it is smaller than the sum of its proper divisors (290371840).

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

145671680 is an equidigital number, since it uses as much as digits as its factorization.

145671680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 145671680 is about 12069.4523488019. The cubic root of 145671680 is about 526.1687401683.

The spelling of 145671680 in words is "one hundred forty-five million, six hundred seventy-one thousand, six hundred eighty".