135778890 has 64 divisors (see below), whose sum is σ = 366218496. Its totient is φ = 31967232.

The previous prime is 135778889. The next prime is 135778897. The reversal of 135778890 is 98877531.

It is not an unprimeable number, because it can be changed into a prime (135778897) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1402 + ... + 16538.

It is an arithmetic number, because the mean of its divisors is an integer number (5722164).

Almost surely, 2^135778890 is an apocalyptic number.

135778890 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 135778890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183109248).

135778890 is an abundant number, since it is smaller than the sum of its proper divisors (230439606).

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

135778890 is a wasteful number, since it uses less digits than its factorization.

135778890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15183.

The product of its (nonzero) digits is 423360, while the sum is 48.

The square root of 135778890 is about 11652.4199203427. The cubic root of 135778890 is about 513.9774728074.

The spelling of 135778890 in words is "one hundred thirty-five million, seven hundred seventy-eight thousand, eight hundred ninety".