145684900 has 81 divisors (see below), whose sum is σ = 340622947. Its totient is φ = 54073600.

The previous prime is 145684879. The next prime is 145684907. The reversal of 145684900 is 9486541.

It is a happy number.

The square root of 145684900 is 12070.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3407716 + 142277184 = 1846^2 + 11928^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 145684900.

It is not an unprimeable number, because it can be changed into a prime (145684907) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2051865 + ... + 2051935.

Almost surely, 2^145684900 is an apocalyptic number.

145684900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

145684900 is the 12070-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145684900

145684900 is an abundant number, since it is smaller than the sum of its proper divisors (194938047).

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

145684900 is a wasteful number, since it uses less digits than its factorization.

145684900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The cubic root of 145684900 is about 526.1846566464.

The spelling of 145684900 in words is "one hundred forty-five million, six hundred eighty-four thousand, nine hundred".