125737125785600 has 1248 divisors, whose sum is σ = 402795897984000. Its totient is φ = 37892181196800.

The previous prime is 125737125785573. The next prime is 125737125785629. The reversal of 125737125785600 is 6587521737521.

It is a self number, because there is not a number n which added to its sum of digits gives 125737125785600.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16438370576 + ... + 16438378224.

Almost surely, 2^{125737125785600} is an apocalyptic number.

125737125785600 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 125737125785600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201397948992000).

125737125785600 is an abundant number, since it is smaller than the sum of its proper divisors (277058772198400).

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

125737125785600 is a wasteful number, since it uses less digits than its factorization.

125737125785600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7797 (or 7770 counting only the distinct ones).

The product of its (nonzero) digits is 24696000, while the sum is 59.

The spelling of 125737125785600 in words is "one hundred twenty-five trillion, seven hundred thirty-seven billion, one hundred twenty-five million, seven hundred eighty-five thousand, six hundred".