135851421888 has 280 divisors, whose sum is σ = 495640087712. Its totient is φ = 35828822016.

The previous prime is 135851421851. The next prime is 135851421911. The reversal of 135851421888 is 888124158531.

It is a happy number.

135851421888 is a `hidden beast` number, since 1 + 3 + 585 + 1 + 42 + 18 + 8 + 8 = 666.

135851421888 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 327756 + ... + 615732.

Almost surely, 2^135851421888 is an apocalyptic number.

135851421888 is a gapful number since it is divisible by the number (18) 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 135851421888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247820043856).

135851421888 is an abundant number, since it is smaller than the sum of its proper divisors (359788665824).

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

135851421888 is a wasteful number, since it uses less digits than its factorization.

135851421888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288021 (or 288002 counting only the distinct ones).

The product of its digits is 2457600, while the sum is 54.

The spelling of 135851421888 in words is "one hundred thirty-five billion, eight hundred fifty-one million, four hundred twenty-one thousand, eight hundred eighty-eight".