135587211840 has 336 divisors, whose sum is σ = 481893774336. Its totient is φ = 34971955200.

The previous prime is 135587211761. The next prime is 135587211901. The reversal of 135587211840 is 48112785531.

135587211840 is a `hidden beast` number, since 1 + 3 + 5 + 587 + 21 + 1 + 8 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10831185 + ... + 10843695.

Almost surely, 2^135587211840 is an apocalyptic number.

135587211840 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 135587211840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240946887168).

135587211840 is an abundant number, since it is smaller than the sum of its proper divisors (346306562496).

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

135587211840 is a wasteful number, since it uses less digits than its factorization.

135587211840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12658 (or 12645 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 135587211840 in words is "one hundred thirty-five billion, five hundred eighty-seven million, two hundred eleven thousand, eight hundred forty".