125438100 has 72 divisors (see below), whose sum is σ = 364122528. Its totient is φ = 33340800.

The previous prime is 125438099. The next prime is 125438141. The reversal of 125438100 is 1834521.

It is a super-2 number, since 2×125438100² = 31469433863220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137847 + ... + 138753.

Almost surely, 2^125438100 is an apocalyptic number.

125438100 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 125438100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182061264).

125438100 is an abundant number, since it is smaller than the sum of its proper divisors (238684428).

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

125438100 is a wasteful number, since it uses less digits than its factorization.

125438100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1385 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 125438100 is about 11199.9151782502. The cubic root of 125438100 is about 500.5834522355.

The spelling of 125438100 in words is "one hundred twenty-five million, four hundred thirty-eight thousand, one hundred".