145669109040 has 1440 divisors, whose sum is σ = 656810044800. Its totient is φ = 28742418432.

The previous prime is 145669108993. The next prime is 145669109077. The reversal of 145669109040 is 40901966541.

It is a happy number.

145669109040 is a `hidden beast` number, since 1 + 456 + 69 + 10 + 90 + 40 = 666.

145669109040 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 287 ways as a sum of consecutive naturals, for example, 927828642 + ... + 927828798.

Almost surely, 2^145669109040 is an apocalyptic number.

145669109040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145669109040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328405022400).

145669109040 is an abundant number, since it is smaller than the sum of its proper divisors (511140935760).

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

145669109040 is a wasteful number, since it uses less digits than its factorization.

145669109040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 145669109040 in words is "one hundred forty-five billion, six hundred sixty-nine million, one hundred nine thousand, forty".