145132080 has 80 divisors (see below), whose sum is σ = 464446464. Its totient is φ = 37451520.

The previous prime is 145132061. The next prime is 145132121. The reversal of 145132080 is 80231541.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 145132080.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2314 + ... + 17193.

Almost surely, 2^145132080 is an apocalyptic number.

145132080 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 145132080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232223232).

145132080 is an abundant number, since it is smaller than the sum of its proper divisors (319314384).

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

145132080 is a wasteful number, since it uses less digits than its factorization.

145132080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19554 (or 19548 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 145132080 is about 12047.0776539375. The cubic root of 145132080 is about 525.5182546756.

The spelling of 145132080 in words is "one hundred forty-five million, one hundred thirty-two thousand, eighty".