125737110121536 has 189 divisors, whose sum is σ = 373282113843093. Its totient is φ = 40464604131840.

The previous prime is 125737110121529. The next prime is 125737110121547. The reversal of 125737110121536 is 635121011737521.

The square root of 125737110121536 is 11213256.

It is a perfect power (a square), and thus also a powerful number.

125737110121536 is a `hidden beast` number, since 1 + 2 + 5 + 7 + 3 + 7 + 1 + 101 + 2 + 1 + 536 = 666.

It can be written as a sum of positive squares in only one way, i.e., 65933490563136 + 59803619558400 = 8119944^2 + 7733280^2 .

It is a junction number, because it is equal to n+sod(n) for n = 125737110121491 and 125737110121500.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7804418121 + ... + 7804434231.

Almost surely, 2^{125737110121536} is an apocalyptic number.

125737110121536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

125737110121536 is the 11213256-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125737110121536

125737110121536 is an abundant number, since it is smaller than the sum of its proper divisors (247545003721557).

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

125737110121536 is an frugal number, since it uses more digits than its factorization.

125737110121536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32298 (or 16145 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The spelling of 125737110121536 in words is "one hundred twenty-five trillion, seven hundred thirty-seven billion, one hundred ten million, one hundred twenty-one thousand, five hundred thirty-six".