125135640 has 384 divisors, whose sum is σ = 517570560. Its totient is φ = 25546752.

The previous prime is 125135639. The next prime is 125135641. The reversal of 125135640 is 46531521.

125135640 is a `hidden beast` number, since 1 + 2 + 5 + 13 + 5 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (125135639) and next prime (125135641).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125135641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 985257 + ... + 985383.

It is an arithmetic number, because the mean of its divisors is an integer number (1347840).

Almost surely, 2^125135640 is an apocalyptic number.

125135640 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 125135640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258785280).

125135640 is an abundant number, since it is smaller than the sum of its proper divisors (392434920).

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

125135640 is a wasteful number, since it uses less digits than its factorization.

125135640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 125135640 is about 11186.4042480146. The cubic root of 125135640 is about 500.1807879569.

The spelling of 125135640 in words is "one hundred twenty-five million, one hundred thirty-five thousand, six hundred forty".