125795195136 has 216 divisors, whose sum is σ = 411158121920. Its totient is φ = 36668878848.

The previous prime is 125795195129. The next prime is 125795195147. The reversal of 125795195136 is 631591597521.

It is a happy number.

125795195136 is a `hidden beast` number, since 1 + 2 + 5 + 79 + 51 + 9 + 513 + 6 = 666.

It is a super-2 number, since 2×125795195136² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 458565 + ... + 679611.

Almost surely, 2^125795195136 is an apocalyptic number.

125795195136 is a gapful number since it is divisible by the number (16) 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 125795195136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205579060960).

125795195136 is an abundant number, since it is smaller than the sum of its proper divisors (285362926784).

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

125795195136 is a wasteful number, since it uses less digits than its factorization.

125795195136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221101 (or 221084 counting only the distinct ones).

The product of its digits is 2551500, while the sum is 54.

The spelling of 125795195136 in words is "one hundred twenty-five billion, seven hundred ninety-five million, one hundred ninety-five thousand, one hundred thirty-six".