145638080 has 112 divisors (see below), whose sum is σ = 401848320. Its totient is φ = 49241088.

The previous prime is 145638041. The next prime is 145638083. The reversal of 145638080 is 80836541.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 145638080.

It is not an unprimeable number, because it can be changed into a prime (145638083) 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, 176549 + ... + 177371.

Almost surely, 2^145638080 is an apocalyptic number.

145638080 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 145638080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200924160).

145638080 is an abundant number, since it is smaller than the sum of its proper divisors (256210240).

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

145638080 is an equidigital number, since it uses as much as digits as its factorization.

145638080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 145638080 is about 12068.0603246752. The cubic root of 145638080 is about 526.1282824552.

The spelling of 145638080 in words is "one hundred forty-five million, six hundred thirty-eight thousand, eighty".