125675141760 has 640 divisors, whose sum is σ = 525496688640. Its totient is φ = 28021800960.

The previous prime is 125675141689. The next prime is 125675141771. The reversal of 125675141760 is 67141576521.

125675141760 is a `hidden beast` number, since 1 + 2 + 5 + 67 + 514 + 1 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-3 number, since 3×125675141760³ (a number of 34 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14873857 + ... + 14882303.

It is an arithmetic number, because the mean of its divisors is an integer number (821088576).

Almost surely, 2^125675141760 is an apocalyptic number.

125675141760 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 125675141760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262748344320).

125675141760 is an abundant number, since it is smaller than the sum of its proper divisors (399821546880).

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

125675141760 is an equidigital number, since it uses as much as digits as its factorization.

125675141760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8526 (or 8505 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 125675141760 in words is "one hundred twenty-five billion, six hundred seventy-five million, one hundred forty-one thousand, seven hundred sixty".