145977484900 has 81 divisors (see below), whose sum is σ = 343129288971. Its totient is φ = 53881039680.

The previous prime is 145977484883. The next prime is 145977484931. The reversal of 145977484900 is 9484779541.

The square root of 145977484900 is 382070.

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 37625912676 + 108351572224 = 193974^2 + 329168^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 49667631 + ... + 49670569.

Almost surely, 2^145977484900 is an apocalyptic number.

145977484900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

145977484900 is the 382070-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145977484900

145977484900 is an abundant number, since it is smaller than the sum of its proper divisors (197151804071).

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

145977484900 is an equidigital number, since it uses as much as digits as its factorization.

145977484900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5918 (or 2959 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 58.

The spelling of 145977484900 in words is "one hundred forty-five billion, nine hundred seventy-seven million, four hundred eighty-four thousand, nine hundred".