135527040 has 512 divisors, whose sum is σ = 564019200. Its totient is φ = 30412800.

The previous prime is 135527033. The next prime is 135527047. The reversal of 135527040 is 40725531.

It is a happy number.

135527040 is a `hidden beast` number, since 1 + 3 + 552 + 70 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (135527033) and next prime (135527047).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 135526995 and 135527013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135527047) 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 63 ways as a sum of consecutive naturals, for example, 4371825 + ... + 4371855.

It is an arithmetic number, because the mean of its divisors is an integer number (1101600).

Almost surely, 2^135527040 is an apocalyptic number.

135527040 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 135527040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282009600).

135527040 is an abundant number, since it is smaller than the sum of its proper divisors (428492160).

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

135527040 is a wasteful number, since it uses less digits than its factorization.

135527040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 135527040 is about 11641.6081363358. The cubic root of 135527040 is about 513.6594917548.

The spelling of 135527040 in words is "one hundred thirty-five million, five hundred twenty-seven thousand, forty".