125293700 has 72 divisors (see below), whose sum is σ = 315229824. Its totient is φ = 42336000.

The previous prime is 125293691. The next prime is 125293709. The reversal of 125293700 is 7392521.

It is an interprime number because it is at equal distance from previous prime (125293691) and next prime (125293709).

It is a super-2 number, since 2×125293700² = 31397022519380000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (125293709) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48440 + ... + 50960.

It is an arithmetic number, because the mean of its divisors is an integer number (4378192).

Almost surely, 2^125293700 is an apocalyptic number.

125293700 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 125293700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157614912).

125293700 is an abundant number, since it is smaller than the sum of its proper divisors (189936124).

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

125293700 is a wasteful number, since it uses less digits than its factorization.

125293700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2613 (or 2606 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 29.

The square root of 125293700 is about 11193.4668445482. The cubic root of 125293700 is about 500.3912936986.

The spelling of 125293700 in words is "one hundred twenty-five million, two hundred ninety-three thousand, seven hundred".