135883440 has 640 divisors, whose sum is σ = 628531200. Its totient is φ = 26127360.

The previous prime is 135883427. The next prime is 135883463. The reversal of 135883440 is 44388531.

135883440 is a `hidden beast` number, since 1 + 3 + 588 + 34 + 40 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 135883395 and 135883404.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 3160059 + ... + 3160101.

It is an arithmetic number, because the mean of its divisors is an integer number (982080).

Almost surely, 2^135883440 is an apocalyptic number.

135883440 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 135883440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314265600).

135883440 is an abundant number, since it is smaller than the sum of its proper divisors (492647760).

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

135883440 is a wasteful number, since it uses less digits than its factorization.

135883440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 135883440 is about 11656.9052496793. The cubic root of 135883440 is about 514.1093601681.

The spelling of 135883440 in words is "one hundred thirty-five million, eight hundred eighty-three thousand, four hundred forty".