135125640 has 144 divisors (see below), whose sum is σ = 475752420. Its totient is φ = 33246720.

The previous prime is 135125633. The next prime is 135125647. The reversal of 135125640 is 46521531.

135125640 is a `hidden beast` number, since 1 + 3 + 5 + 12 + 5 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (135125633) and next prime (135125647).

It can be written as a sum of positive squares in 6 ways, for example, as 21958596 + 113167044 = 4686^2 + 10638^2 .

It is not an unprimeable number, because it can be changed into a prime (135125647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 59730 + ... + 61950.

Almost surely, 2^135125640 is an apocalyptic number.

135125640 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 135125640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237876210).

135125640 is an abundant number, since it is smaller than the sum of its proper divisors (340626780).

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

135125640 is a wasteful number, since it uses less digits than its factorization.

135125640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2264 (or 2244 counting only the distinct ones).

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

The square root of 135125640 is about 11624.3554660033. The cubic root of 135125640 is about 513.1518764206.

The spelling of 135125640 in words is "one hundred thirty-five million, one hundred twenty-five thousand, six hundred forty".