145625092704 has 192 divisors, whose sum is σ = 522757025280. Its totient is φ = 38406597120.

The previous prime is 145625092703. The next prime is 145625092799. The reversal of 145625092704 is 407290526541.

145625092704 is a `hidden beast` number, since 14 + 5 + 62 + 509 + 2 + 70 + 4 = 666.

145625092704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 145625092704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145625092703) 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 31 ways as a sum of consecutive naturals, for example, 847462 + ... + 1004709.

It is an arithmetic number, because the mean of its divisors is an integer number (2722692840).

Almost surely, 2^145625092704 is an apocalyptic number.

145625092704 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

145625092704 is an abundant number, since it is smaller than the sum of its proper divisors (377131932576).

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

145625092704 is a wasteful number, since it uses less digits than its factorization.

145625092704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1852210 (or 1852196 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 145625092704 in words is "one hundred forty-five billion, six hundred twenty-five million, ninety-two thousand, seven hundred four".