125454959784 has 640 divisors, whose sum is σ = 456292742400. Its totient is φ = 31248322560.

The previous prime is 125454959771. The next prime is 125454959821. The reversal of 125454959784 is 487959454521.

125454959784 is a `hidden beast` number, since 1 + 2 + 5 + 4 + 549 + 5 + 9 + 7 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 400814412 + ... + 400814724.

It is an arithmetic number, because the mean of its divisors is an integer number (712957410).

Almost surely, 2^125454959784 is an apocalyptic number.

125454959784 is a gapful number since it is divisible by the number (14) 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 125454959784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228146371200).

125454959784 is an abundant number, since it is smaller than the sum of its proper divisors (330837782616).

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

125454959784 is a wasteful number, since it uses less digits than its factorization.

125454959784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 642 counting only the distinct ones).

The product of its digits is 72576000, while the sum is 63.

The spelling of 125454959784 in words is "one hundred twenty-five billion, four hundred fifty-four million, nine hundred fifty-nine thousand, seven hundred eighty-four".