135673869240 has 1728 divisors, whose sum is σ = 622392076800. Its totient is φ = 25939989504.

The previous prime is 135673869239. The next prime is 135673869271. The reversal of 135673869240 is 42968376531.

135673869240 is a `hidden beast` number, since 1 + 3 + 567 + 38 + 6 + 9 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 5898863869 + ... + 5898863891.

It is an arithmetic number, because the mean of its divisors is an integer number (360180600).

It is a 1-persistent number, because it is pandigital, but 2⋅135673869240 = 271347738480 is not.

Almost surely, 2^135673869240 is an apocalyptic number.

135673869240 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 135673869240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311196038400).

135673869240 is an abundant number, since it is smaller than the sum of its proper divisors (486718207560).

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

135673869240 is a wasteful number, since it uses less digits than its factorization.

135673869240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 135673869240 in words is "one hundred thirty-five billion, six hundred seventy-three million, eight hundred sixty-nine thousand, two hundred forty".