145814580 has 168 divisors, whose sum is σ = 468792072. Its totient is φ = 38071296.

The previous prime is 145814563. The next prime is 145814587. The reversal of 145814580 is 85418541.

145814580 is a `hidden beast` number, since 14 + 58 + 14 + 580 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22071204 + 123743376 = 4698^2 + 11124^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145814587) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1064272 + ... + 1064408.

It is an arithmetic number, because the mean of its divisors is an integer number (2790429).

Almost surely, 2^145814580 is an apocalyptic number.

145814580 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 145814580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234396036).

145814580 is an abundant number, since it is smaller than the sum of its proper divisors (322977492).

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

145814580 is a wasteful number, since it uses less digits than its factorization.

145814580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 145814580 is about 12075.3708017601. The cubic root of 145814580 is about 526.3407364000.

The spelling of 145814580 in words is "one hundred forty-five million, eight hundred fourteen thousand, five hundred eighty".