125714453760 has 576 divisors, whose sum is σ = 526319861760. Its totient is φ = 27806146560.

The previous prime is 125714453747. The next prime is 125714453771. The reversal of 125714453760 is 67354417521.

125714453760 is a `hidden beast` number, since 1 + 2 + 5 + 71 + 44 + 537 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7491139 + ... + 7507901.

It is an arithmetic number, because the mean of its divisors is an integer number (913749760).

Almost surely, 2^125714453760 is an apocalyptic number.

125714453760 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 125714453760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263159930880).

125714453760 is an abundant number, since it is smaller than the sum of its proper divisors (400605408000).

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

125714453760 is a wasteful number, since it uses less digits than its factorization.

125714453760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16831 (or 16811 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 125714453760 in words is "one hundred twenty-five billion, seven hundred fourteen million, four hundred fifty-three thousand, seven hundred sixty".