135382777920 has 560 divisors, whose sum is σ = 522754360128. Its totient is φ = 33059819520.

The previous prime is 135382777891. The next prime is 135382777927. The reversal of 135382777920 is 29777283531.

135382777920 is a `hidden beast` number, since 13 + 538 + 2 + 7 + 7 + 7 + 92 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (135382777927) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 44140227 + ... + 44143293.

Almost surely, 2^135382777920 is an apocalyptic number.

135382777920 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 135382777920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261377180064).

135382777920 is an abundant number, since it is smaller than the sum of its proper divisors (387371582208).

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

135382777920 is a wasteful number, since it uses less digits than its factorization.

135382777920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3240 (or 3221 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 135382777920 in words is "one hundred thirty-five billion, three hundred eighty-two million, seven hundred seventy-seven thousand, nine hundred twenty".