145287722880000 has 660 divisors, whose sum is σ = 555063332658120. Its totient is φ = 36464345088000.

The previous prime is 145287722879969. The next prime is 145287722880019. The reversal of 145287722880000 is 88227782541.

145287722880000 is a `hidden beast` number, since 14 + 5 + 287 + 72 + 288 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×145287722880000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 97178131 + ... + 98661869.

It is an arithmetic number, because the mean of its divisors is an integer number (841005049482).

Almost surely, 2^{145287722880000} is an apocalyptic number.

145287722880000 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 145287722880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277531666329060).

145287722880000 is an abundant number, since it is smaller than the sum of its proper divisors (409775609778120).

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

145287722880000 is a wasteful number, since it uses less digits than its factorization.

145287722880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1483802 (or 1483766 counting only the distinct ones).

The product of its (nonzero) digits is 4014080, while the sum is 54.

The spelling of 145287722880000 in words is "one hundred forty-five trillion, two hundred eighty-seven billion, seven hundred twenty-two million, eight hundred eighty thousand".