135573840 has 240 divisors, whose sum is σ = 485147520. Its totient is φ = 33868800.

The previous prime is 135573829. The next prime is 135573857. The reversal of 135573840 is 48375531.

135573840 is a `hidden beast` number, since 1 + 3 + 5 + 573 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 135573795 and 135573804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 897765 + ... + 897915.

It is an arithmetic number, because the mean of its divisors is an integer number (2021448).

Almost surely, 2^135573840 is an apocalyptic number.

135573840 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 135573840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242573760).

135573840 is an abundant number, since it is smaller than the sum of its proper divisors (349573680).

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

135573840 is a wasteful number, since it uses less digits than its factorization.

135573840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 135573840 is about 11643.6179944208. The cubic root of 135573840 is about 513.7186103329.

The spelling of 135573840 in words is "one hundred thirty-five million, five hundred seventy-three thousand, eight hundred forty".