135317790 has 160 divisors (see below), whose sum is σ = 398939904. Its totient is φ = 32762880.

The previous prime is 135317789. The next prime is 135317797. The reversal of 135317790 is 97713531.

It is a super-3 number, since 3×135317790³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135317797) 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, 426712 + ... + 427028.

Almost surely, 2^135317790 is an apocalyptic number.

135317790 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 135317790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199469952).

135317790 is an abundant number, since it is smaller than the sum of its proper divisors (263622114).

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

135317790 is a wasteful number, since it uses less digits than its factorization.

135317790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 19845, while the sum is 36.

The square root of 135317790 is about 11632.6175042421. The cubic root of 135317790 is about 513.3949969027.

It can be divided in two parts, 13531 and 7790, that added together give a triangular number (21321 = T₂₀₆).

The spelling of 135317790 in words is "one hundred thirty-five million, three hundred seventeen thousand, seven hundred ninety".