145458332100 has 81 divisors (see below), whose sum is σ = 455966927143. Its totient is φ = 38785837440.

The previous prime is 145458332083. The next prime is 145458332111. The reversal of 145458332100 is 1233854541.

The square root of 145458332100 is 381390.

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

145458332100 is a `hidden beast` number, since 1 + 4 + 54 + 583 + 3 + 21 + 0 + 0 = 666.

145458332100 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 23366791044 + 122091541056 = 152862^2 + 349416^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11435344 + ... + 11448056.

Almost surely, 2^145458332100 is an apocalyptic number.

145458332100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

145458332100 is the 381390-th square number.

It is an amenable number.

145458332100 is an abundant number, since it is smaller than the sum of its proper divisors (310508595043).

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

145458332100 is an equidigital number, since it uses as much as digits as its factorization.

145458332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25446 (or 12723 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Multiplying 145458332100 by its sum of digits (36), we get a square (5236499955600 = 2288340²).

145458332100 divided by its sum of digits (36) gives a square (4040509225 = 63565²).

The spelling of 145458332100 in words is "one hundred forty-five billion, four hundred fifty-eight million, three hundred thirty-two thousand, one hundred".