135672203520 has 324 divisors, whose sum is σ = 546052607100. Its totient is φ = 31010660352.

The previous prime is 135672203503. The next prime is 135672203521. The reversal of 135672203520 is 25302276531.

135672203520 is a `hidden beast` number, since 13 + 56 + 72 + 2 + 0 + 3 + 520 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 51590762496 + 84081441024 = 227136^2 + 289968^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (135672203521) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 444306 + ... + 684654.

Almost surely, 2^135672203520 is an apocalyptic number.

135672203520 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 135672203520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273026303550).

135672203520 is an abundant number, since it is smaller than the sum of its proper divisors (410380403580).

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

135672203520 is a wasteful number, since it uses less digits than its factorization.

135672203520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240390 (or 240366 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 135672203520 in words is "one hundred thirty-five billion, six hundred seventy-two million, two hundred three thousand, five hundred twenty".