135627215040 has 336 divisors, whose sum is σ = 480845164800. Its totient is φ = 35067561984.

The previous prime is 135627214999. The next prime is 135627215047. The reversal of 135627215040 is 40512726531.

135627215040 is a `hidden beast` number, since 1 + 3 + 5 + 627 + 21 + 5 + 0 + 4 + 0 = 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 = 135627214986 and 135627215004.

It is not an unprimeable number, because it can be changed into a prime (135627215047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17209821 + ... + 17217699.

It is an arithmetic number, because the mean of its divisors is an integer number (1431086800).

Almost surely, 2^135627215040 is an apocalyptic number.

135627215040 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 135627215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240422582400).

135627215040 is an abundant number, since it is smaller than the sum of its proper divisors (345217949760).

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

135627215040 is a wasteful number, since it uses less digits than its factorization.

135627215040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8084 (or 8071 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 135627215040 in words is "one hundred thirty-five billion, six hundred twenty-seven million, two hundred fifteen thousand, forty".