125741160000 has 525 divisors, whose sum is σ = 468147464389. Its totient is φ = 33360768000.

The previous prime is 125741159941. The next prime is 125741160007. The reversal of 125741160000 is 61147521.

It is a happy number.

The square root of 125741160000 is 354600.

It is a perfect power (a square), and thus also a powerful number.

125741160000 is a `hidden beast` number, since 1 + 2 + 57 + 4 + 1 + 1 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 21510328896 + 104230831104 = 146664^2 + 322848^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (125741160007) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 638279902 + ... + 638280098.

Almost surely, 2^125741160000 is an apocalyptic number.

125741160000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

125741160000 is the 354600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125741160000

125741160000 is an abundant number, since it is smaller than the sum of its proper divisors (342406304389).

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

125741160000 is an frugal number, since it uses more digits than its factorization.

125741160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 125741160000 in words is "one hundred twenty-five billion, seven hundred forty-one million, one hundred sixty thousand".