145902580 has 24 divisors (see below), whose sum is σ = 309433320. Its totient is φ = 57782400.

The previous prime is 145902571. The next prime is 145902583. The reversal of 145902580 is 85209541.

145902580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 23755876 + 122146704 = 4874^2 + 11052^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145902583) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34095 + ... + 38134.

It is an arithmetic number, because the mean of its divisors is an integer number (12893055).

Almost surely, 2^145902580 is an apocalyptic number.

145902580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145902580 is an abundant number, since it is smaller than the sum of its proper divisors (163530740).

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

145902580 is a wasteful number, since it uses less digits than its factorization.

145902580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72339 (or 72337 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 34.

The square root of 145902580 is about 12079.0140326104. The cubic root of 145902580 is about 526.4465984022.

The spelling of 145902580 in words is "one hundred forty-five million, nine hundred two thousand, five hundred eighty".