135382890 has 64 divisors (see below), whose sum is σ = 337996800. Its totient is φ = 34667520.

The previous prime is 135382873. The next prime is 135382903. The reversal of 135382890 is 98283531.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138082 + ... + 139058.

It is an arithmetic number, because the mean of its divisors is an integer number (5281200).

Almost surely, 2^135382890 is an apocalyptic number.

135382890 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 135382890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168998400).

135382890 is an abundant number, since it is smaller than the sum of its proper divisors (202613910).

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

135382890 is a wasteful number, since it uses less digits than its factorization.

135382890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167.

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 135382890 is about 11635.4153342285. The cubic root of 135382890 is about 513.4773133916.

The spelling of 135382890 in words is "one hundred thirty-five million, three hundred eighty-two thousand, eight hundred ninety".