135780000000 has 576 divisors, whose sum is σ = 472673789952. Its totient is φ = 34560000000.

The previous prime is 135779999987. The next prime is 135780000001. The reversal of 135780000000 is 87531.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (135780000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1859999964 + ... + 1860000036.

Almost surely, 2^135780000000 is an apocalyptic number.

135780000000 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 135780000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236336894976).

135780000000 is an abundant number, since it is smaller than the sum of its proper divisors (336893789952).

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

135780000000 is an frugal number, since it uses more digits than its factorization.

135780000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

Adding to 135780000000 its reverse (87531), we get a palindrome (135780087531).

The spelling of 135780000000 in words is "one hundred thirty-five billion, seven hundred eighty million", and thus it is an aban number.