125837712 has 400 divisors, whose sum is σ = 494051712. Its totient is φ = 29859840.

The previous prime is 125837707. The next prime is 125837713. The reversal of 125837712 is 217738521.

125837712 is a `hidden beast` number, since 1 + 2 + 583 + 7 + 71 + 2 = 666.

It is a super-2 number, since 2×125837712² = 31670259522789888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (125837713) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1297248 + ... + 1297344.

Almost surely, 2^125837712 is an apocalyptic number.

125837712 is a gapful number since it is divisible by the number (12) 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 125837712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247025856).

125837712 is an abundant number, since it is smaller than the sum of its proper divisors (368214000).

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

125837712 is a wasteful number, since it uses less digits than its factorization.

125837712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 133 counting only the distinct ones).

The product of its digits is 23520, while the sum is 36.

The square root of 125837712 is about 11217.7409490503. The cubic root of 125837712 is about 501.1144634303.

The spelling of 125837712 in words is "one hundred twenty-five million, eight hundred thirty-seven thousand, seven hundred twelve".