135019748880 has 600 divisors, whose sum is σ = 490796444160. Its totient is φ = 34390863360.

The previous prime is 135019748869. The next prime is 135019748917. The reversal of 135019748880 is 88847910531.

135019748880 is a `hidden beast` number, since 1 + 3 + 501 + 97 + 48 + 8 + 8 + 0 = 666.

It is a super-2 number, since 2×135019748880² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 706909585 + ... + 706909775.

Almost surely, 2^135019748880 is an apocalyptic number.

135019748880 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 135019748880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245398222080).

135019748880 is an abundant number, since it is smaller than the sum of its proper divisors (355776695280).

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

135019748880 is a wasteful number, since it uses less digits than its factorization.

135019748880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 135019748880 in words is "one hundred thirty-five billion, nineteen million, seven hundred forty-eight thousand, eight hundred eighty".