135672501859840 has 640 divisors, whose sum is σ = 378344959229952. Its totient is φ = 46112723435520.

The previous prime is 135672501859787. The next prime is 135672501859849. The reversal of 135672501859840 is 48958105276531.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135672501859849) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81582982849 + ... + 81582984511.

It is a 2-persistent number, because it is pandigital, and so is 2⋅135672501859840 = 271345003719680, but 3⋅135672501859840 = 407017505579520 is not.

Almost surely, 2^{135672501859840} is an apocalyptic number.

135672501859840 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 135672501859840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189172479614976).

135672501859840 is an abundant number, since it is smaller than the sum of its proper divisors (242672457370112).

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

135672501859840 is a wasteful number, since it uses less digits than its factorization.

135672501859840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2790 (or 2774 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 64.

The spelling of 135672501859840 in words is "one hundred thirty-five trillion, six hundred seventy-two billion, five hundred one million, eight hundred fifty-nine thousand, eight hundred forty".