125926500 has 192 divisors, whose sum is σ = 427714560. Its totient is φ = 28195200.

The previous prime is 125926499. The next prime is 125926519. The reversal of 125926500 is 5629521.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 703411 + ... + 703589.

It is an arithmetic number, because the mean of its divisors is an integer number (2227680).

Almost surely, 2^125926500 is an apocalyptic number.

125926500 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 125926500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213857280).

125926500 is an abundant number, since it is smaller than the sum of its proper divisors (301788060).

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

125926500 is a wasteful number, since it uses less digits than its factorization.

125926500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 125926500 is about 11221.6977325180. The cubic root of 125926500 is about 501.2322937425.

The spelling of 125926500 in words is "one hundred twenty-five million, nine hundred twenty-six thousand, five hundred".