135687842004 has 192 divisors, whose sum is σ = 378952019712. Its totient is φ = 37557780480.

The previous prime is 135687841979. The next prime is 135687842021. The reversal of 135687842004 is 400248786531.

It is a super-2 number, since 2×135687842004² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20137324 + ... + 20144060.

It is an arithmetic number, because the mean of its divisors is an integer number (1973708436).

Almost surely, 2^135687842004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135687842004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189476009856).

135687842004 is an abundant number, since it is smaller than the sum of its proper divisors (243264177708).

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

135687842004 is a wasteful number, since it uses less digits than its factorization.

135687842004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6887 (or 6863 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The spelling of 135687842004 in words is "one hundred thirty-five billion, six hundred eighty-seven million, eight hundred forty-two thousand, four".