125748080640 has 2080 divisors, whose sum is σ = 599423932800. Its totient is φ = 24970788864.

The previous prime is 125748080639. The next prime is 125748080641. The reversal of 125748080640 is 46080847521.

125748080640 is a `hidden beast` number, since 1 + 2 + 57 + 480 + 80 + 6 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (125748080639) and next prime (125748080641).

It is a tau number, because it is divible by the number of its divisors (2080).

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 (125748080641) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7396945912 + ... + 7396945928.

Almost surely, 2^125748080640 is an apocalyptic number.

125748080640 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 125748080640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299711966400).

125748080640 is an abundant number, since it is smaller than the sum of its proper divisors (473675852160).

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

125748080640 is an equidigital number, since it uses as much as digits as its factorization.

125748080640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 125748080640 in words is "one hundred twenty-five billion, seven hundred forty-eight million, eighty thousand, six hundred forty".