145438056126720 has 6912 divisors, whose sum is σ = 702587284439040. Its totient is φ = 28017225105408.

The previous prime is 145438056126719. The next prime is 145438056126731. The reversal of 145438056126720 is 27621650834541.

145438056126720 is a `hidden beast` number, since 1 + 4 + 5 + 4 + 3 + 8 + 0 + 561 + 2 + 6 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 1061591650492 + ... + 1061591650628.

It is an arithmetic number, because the mean of its divisors is an integer number (101647465920).

Almost surely, 2^{145438056126720} is an apocalyptic number.

145438056126720 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 145438056126720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351293642219520).

145438056126720 is an abundant number, since it is smaller than the sum of its proper divisors (557149228312320).

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

145438056126720 is a wasteful number, since it uses less digits than its factorization.

145438056126720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 145438056126720 in words is "one hundred forty-five trillion, four hundred thirty-eight billion, fifty-six million, one hundred twenty-six thousand, seven hundred twenty".