125777537676 has 216 divisors, whose sum is σ = 392894502000. Its totient is φ = 33731728128.

The previous prime is 125777537671. The next prime is 125777537687. The reversal of 125777537676 is 676735777521.

125777537676 is a `hidden beast` number, since 1 + 2 + 577 + 7 + 53 + 7 + 6 + 7 + 6 = 666.

125777537676 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (125777537671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3636030 + ... + 3670458.

Almost surely, 2^125777537676 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125777537676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196447251000).

125777537676 is an abundant number, since it is smaller than the sum of its proper divisors (267116964324).

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

125777537676 is a wasteful number, since it uses less digits than its factorization.

125777537676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34581 (or 34569 counting only the distinct ones).

The product of its digits is 90757800, while the sum is 63.

The spelling of 125777537676 in words is "one hundred twenty-five billion, seven hundred seventy-seven million, five hundred thirty-seven thousand, six hundred seventy-six".