145664786025 has 192 divisors, whose sum is σ = 312302511360. Its totient is φ = 65780121600.

The previous prime is 145664785999. The next prime is 145664786027. The reversal of 145664786025 is 520687466541.

145664786025 is a `hidden beast` number, since 1 + 4 + 566 + 4 + 78 + 6 + 0 + 2 + 5 = 666.

145664786025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 145664786025 - 2⁵ = 145664785993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (145664786027) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 12237877 + ... + 12249773.

It is an arithmetic number, because the mean of its divisors is an integer number (1626575580).

Almost surely, 2^145664786025 is an apocalyptic number.

145664786025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

145664786025 is an abundant number, since it is smaller than the sum of its proper divisors (166637725335).

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

145664786025 is a wasteful number, since it uses less digits than its factorization.

145664786025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12041 (or 12030 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 145664786025 in words is "one hundred forty-five billion, six hundred sixty-four million, seven hundred eighty-six thousand, twenty-five".