135378738450 has 288 divisors, whose sum is σ = 387976417920. Its totient is φ = 35075980800.

The previous prime is 135378738433. The next prime is 135378738457. The reversal of 135378738450 is 54837873531.

It is a happy number.

135378738450 is a `hidden beast` number, since 1 + 3 + 53 + 78 + 73 + 8 + 450 = 666.

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 (135378738457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 178835472 + ... + 178836228.

It is an arithmetic number, because the mean of its divisors is an integer number (1347140340).

Almost surely, 2^135378738450 is an apocalyptic number.

135378738450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135378738450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193988208960).

135378738450 is an abundant number, since it is smaller than the sum of its proper divisors (252597679470).

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

135378738450 is a wasteful number, since it uses less digits than its factorization.

135378738450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 135378738450 in words is "one hundred thirty-five billion, three hundred seventy-eight million, seven hundred thirty-eight thousand, four hundred fifty".