145121398064640 has 960 divisors, whose sum is σ = 545800152268800. Its totient is φ = 35546112000000.

The previous prime is 145121398064639. The next prime is 145121398064663. The reversal of 145121398064640 is 46460893121541.

145121398064640 is a `hidden beast` number, since 1 + 4 + 51 + 21 + 39 + 80 + 6 + 464 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1222005265 + ... + 1222124015.

It is an arithmetic number, because the mean of its divisors is an integer number (568541825280).

Almost surely, 2^{145121398064640} is an apocalyptic number.

145121398064640 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 145121398064640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272900076134400).

145121398064640 is an abundant number, since it is smaller than the sum of its proper divisors (400678754204160).

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

145121398064640 is a wasteful number, since it uses less digits than its factorization.

145121398064640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118899 (or 118880 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 145121398064640 in words is "one hundred forty-five trillion, one hundred twenty-one billion, three hundred ninety-eight million, sixty-four thousand, six hundred forty".