125669040 has 320 divisors, whose sum is σ = 487587840. Its totient is φ = 26127360.

The previous prime is 125668993. The next prime is 125669041. The reversal of 125669040 is 40966521.

It is a super-2 number, since 2×125669040² = 31585415229043200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 125668992 and 125669010.

It is not an unprimeable number, because it can be changed into a prime (125669041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 989457 + ... + 989583.

It is an arithmetic number, because the mean of its divisors is an integer number (1523712).

Almost surely, 2^125669040 is an apocalyptic number.

125669040 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 125669040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243793920).

125669040 is an abundant number, since it is smaller than the sum of its proper divisors (361918800).

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

125669040 is a wasteful number, since it uses less digits than its factorization.

125669040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 125669040 is about 11210.2203368176. The cubic root of 125669040 is about 500.8904665306.

The spelling of 125669040 in words is "one hundred twenty-five million, six hundred sixty-nine thousand, forty".