125451936 has 192 divisors, whose sum is σ = 391910400. Its totient is φ = 38953728.

The previous prime is 125451899. The next prime is 125452001. The reversal of 125451936 is 639154521.

It is a super-2 number, since 2×125451936² = 31476376492296192, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 125451936.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1172395 + ... + 1172501.

It is an arithmetic number, because the mean of its divisors is an integer number (2041200).

Almost surely, 2^125451936 is an apocalyptic number.

125451936 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 125451936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195955200).

125451936 is an abundant number, since it is smaller than the sum of its proper divisors (266458464).

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

125451936 is a wasteful number, since it uses less digits than its factorization.

125451936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 194 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 125451936 is about 11200.5328444677. The cubic root of 125451936 is about 500.6018565800.

The spelling of 125451936 in words is "one hundred twenty-five million, four hundred fifty-one thousand, nine hundred thirty-six".