145609390080 has 1728 divisors, whose sum is σ = 677782909440. Its totient is φ = 28075622400.

The previous prime is 145609390061. The next prime is 145609390139. The reversal of 145609390080 is 80093906541.

It is a happy number.

145609390080 is a `hidden beast` number, since 1 + 4 + 5 + 609 + 39 + 0 + 0 + 8 + 0 = 666.

145609390080 is digitally balanced in base 2 and base 3, because in such bases 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 (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2050836445 + ... + 2050836515.

It is an arithmetic number, because the mean of its divisors is an integer number (392235480).

Almost surely, 2^145609390080 is an apocalyptic number.

145609390080 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 145609390080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338891454720).

145609390080 is an abundant number, since it is smaller than the sum of its proper divisors (532173519360).

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

145609390080 is a wasteful number, since it uses less digits than its factorization.

145609390080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 116 counting only the distinct ones).

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

The spelling of 145609390080 in words is "one hundred forty-five billion, six hundred nine million, three hundred ninety thousand, eighty".