135821202840 has 768 divisors, whose sum is σ = 520770240000. Its totient is φ = 31370747904.

The previous prime is 135821202833. The next prime is 135821202841. The reversal of 135821202840 is 48202128531.

It is a happy number.

135821202840 is a `hidden beast` number, since 1 + 3 + 582 + 12 + 0 + 28 + 40 = 666.

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 = 135821202795 and 135821202804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135821202841) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 219420051 + ... + 219420669.

It is an arithmetic number, because the mean of its divisors is an integer number (678086250).

Almost surely, 2^135821202840 is an apocalyptic number.

135821202840 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 135821202840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260385120000).

135821202840 is an abundant number, since it is smaller than the sum of its proper divisors (384949037160).

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

135821202840 is a wasteful number, since it uses less digits than its factorization.

135821202840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 135821202840 in words is "one hundred thirty-five billion, eight hundred twenty-one million, two hundred two thousand, eight hundred forty".