145153380100 has 81 divisors (see below), whose sum is σ = 325736378751. Its totient is φ = 56142686400.

The previous prime is 145153380061. The next prime is 145153380157. The reversal of 145153380100 is 1083351541.

The square root of 145153380100 is 380990.

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 37012372996 + 108141007104 = 192386^2 + 328848^2 .

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 118106286 + ... + 118107514.

Almost surely, 2^145153380100 is an apocalyptic number.

145153380100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

145153380100 is the 380990-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145153380100

145153380100 is an abundant number, since it is smaller than the sum of its proper divisors (180582998651).

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

145153380100 is an equidigital number, since it uses as much as digits as its factorization.

145153380100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2534 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

The spelling of 145153380100 in words is "one hundred forty-five billion, one hundred fifty-three million, three hundred eighty thousand, one hundred".