125340493824 has 1440 divisors, whose sum is σ = 507450303360. Its totient is φ = 29955391488.

The previous prime is 125340493807. The next prime is 125340493849. The reversal of 125340493824 is 428394043521.

125340493824 is a `hidden beast` number, since 1 + 2 + 534 + 0 + 4 + 93 + 8 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 125340493824.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5449586677 + ... + 5449586699.

It is an arithmetic number, because the mean of its divisors is an integer number (352396044).

Almost surely, 2^125340493824 is an apocalyptic number.

125340493824 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 125340493824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253725151680).

125340493824 is an abundant number, since it is smaller than the sum of its proper divisors (382109809536).

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

125340493824 is a wasteful number, since it uses less digits than its factorization.

125340493824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 125340493824 in words is "one hundred twenty-five billion, three hundred forty million, four hundred ninety-three thousand, eight hundred twenty-four".