145353312100 has 36 divisors (see below), whose sum is σ = 316227611700. Its totient is φ = 57991845760.

The previous prime is 145353312079. The next prime is 145353312107. The reversal of 145353312100 is 1213353541.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1645600356 + 143707711744 = 40566^2 + 379088^2 .

It is a super-2 number, since 2×145353312100² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145353312107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1829395 + ... + 1907194.

It is an arithmetic number, because the mean of its divisors is an integer number (8784100325).

Almost surely, 2^145353312100 is an apocalyptic number.

145353312100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145353312100 is an abundant number, since it is smaller than the sum of its proper divisors (170874299600).

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

145353312100 is a wasteful number, since it uses less digits than its factorization.

145353312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3736992 (or 3736985 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

Adding to 145353312100 its reverse (1213353541), we get a palindrome (146566665641).

The spelling of 145353312100 in words is "one hundred forty-five billion, three hundred fifty-three million, three hundred twelve thousand, one hundred".