125144144406720 has 672 divisors, whose sum is σ = 452005949041920. Its totient is φ = 32953394073600.

The previous prime is 125144144406709. The next prime is 125144144406733. The reversal of 125144144406720 is 27604441441521.

125144144406720 is a `hidden beast` number, since 1 + 2 + 5 + 144 + 1 + 4 + 440 + 67 + 2 + 0 = 666.

It is a super-3 number, since 3×125144144406720³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2976554019 + ... + 2976596061.

It is an arithmetic number, because the mean of its divisors is an integer number (672627900360).

Almost surely, 2^{125144144406720} is an apocalyptic number.

125144144406720 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 125144144406720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226002974520960).

125144144406720 is an abundant number, since it is smaller than the sum of its proper divisors (326861804635200).

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

125144144406720 is a wasteful number, since it uses less digits than its factorization.

125144144406720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42555 (or 42533 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 125144144406720 in words is "one hundred twenty-five trillion, one hundred forty-four billion, one hundred forty-four million, four hundred six thousand, seven hundred twenty".