125437284720 has 320 divisors, whose sum is σ = 477985121280. Its totient is φ = 29980339200.

The previous prime is 125437284697. The next prime is 125437284727. The reversal of 125437284720 is 27482734521.

125437284720 is a `hidden beast` number, since 1 + 2 + 543 + 7 + 2 + 84 + 7 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125437284727) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1649782 + ... + 1724138.

It is an arithmetic number, because the mean of its divisors is an integer number (1493703504).

Almost surely, 2^125437284720 is an apocalyptic number.

125437284720 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 125437284720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238992560640).

125437284720 is an abundant number, since it is smaller than the sum of its proper divisors (352547836560).

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

125437284720 is a wasteful number, since it uses less digits than its factorization.

125437284720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74461 (or 74449 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 125437284720 in words is "one hundred twenty-five billion, four hundred thirty-seven million, two hundred eighty-four thousand, seven hundred twenty".