145505827440 has 200 divisors, whose sum is σ = 535090952880. Its totient is φ = 36519081984.

The previous prime is 145505827333. The next prime is 145505827451. The reversal of 145505827440 is 44728505541.

145505827440 is a `hidden beast` number, since 1 + 4 + 550 + 58 + 2 + 7 + 4 + 40 = 666.

145505827440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 550270 + ... + 770589.

Almost surely, 2^145505827440 is an apocalyptic number.

145505827440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145505827440 is an abundant number, since it is smaller than the sum of its proper divisors (389585125440).

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

145505827440 is a wasteful number, since it uses less digits than its factorization.

145505827440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320901 (or 1320886 counting only the distinct ones).

The product of its (nonzero) digits is 896000, while the sum is 45.

The spelling of 145505827440 in words is "one hundred forty-five billion, five hundred five million, eight hundred twenty-seven thousand, four hundred forty".