125737536 has 56 divisors (see below), whose sum is σ = 337275424. Its totient is φ = 41333760.

The previous prime is 125737523. The next prime is 125737537. The reversal of 125737536 is 635737521.

It is a junction number, because it is equal to n+sod(n) for n = 125737494 and 125737503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125737537) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9531 + ... + 18501.

Almost surely, 2^125737536 is an apocalyptic number.

125737536 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 125737536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168637712).

125737536 is an abundant number, since it is smaller than the sum of its proper divisors (211537888).

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

125737536 is an equidigital number, since it uses as much as digits as its factorization.

125737536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9059 (or 9049 counting only the distinct ones).

The product of its digits is 132300, while the sum is 39.

The square root of 125737536 is about 11213.2749899394. The cubic root of 125737536 is about 500.9814535706.

The spelling of 125737536 in words is "one hundred twenty-five million, seven hundred thirty-seven thousand, five hundred thirty-six".