125688543627150 has 336 divisors, whose sum is σ = 400619910541824. Its totient is φ = 28726209541440.

The previous prime is 125688543627061. The next prime is 125688543627173. The reversal of 125688543627150 is 51726345886521.

125688543627150 is a `hidden beast` number, since 1 + 2 + 5 + 6 + 8 + 85 + 436 + 2 + 71 + 50 = 666.

It is a super-2 number, since 2×125688543627150² (a number of 29 digits) contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 5149680247 + ... + 5149704653.

Almost surely, 2^{125688543627150} is an apocalyptic number.

125688543627150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 125688543627150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200309955270912).

125688543627150 is an abundant number, since it is smaller than the sum of its proper divisors (274931366914674).

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

125688543627150 is a wasteful number, since it uses less digits than its factorization.

125688543627150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44627 (or 44607 counting only the distinct ones).

The product of its (nonzero) digits is 96768000, while the sum is 63.

The spelling of 125688543627150 in words is "one hundred twenty-five trillion, six hundred eighty-eight billion, five hundred forty-three million, six hundred twenty-seven thousand, one hundred fifty".