135290880 has 168 divisors, whose sum is σ = 470257632. Its totient is φ = 35979264.

The previous prime is 135290873. The next prime is 135290891. The reversal of 135290880 is 88092531.

It is a super-2 number, since 2×135290880² = 36607244422348800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 368457 + ... + 368823.

Almost surely, 2^135290880 is an apocalyptic number.

135290880 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 135290880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235128816).

135290880 is an abundant number, since it is smaller than the sum of its proper divisors (334966752).

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

135290880 is an equidigital number, since it uses as much as digits as its factorization.

135290880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 135290880 is about 11631.4607853012. The cubic root of 135290880 is about 513.3609625128.

The spelling of 135290880 in words is "one hundred thirty-five million, two hundred ninety thousand, eight hundred eighty".