135650880 has 336 divisors, whose sum is σ = 511942080. Its totient is φ = 32845824.

The previous prime is 135650869. The next prime is 135650923. The reversal of 135650880 is 88056531.

135650880 is a `hidden beast` number, since 13 + 565 + 0 + 8 + 80 = 666.

It is a super-2 number, since 2×135650880² = 36802322489548800, 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2024607 + ... + 2024673.

Almost surely, 2^135650880 is an apocalyptic number.

135650880 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 135650880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255971040).

135650880 is an abundant number, since it is smaller than the sum of its proper divisors (376291200).

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

135650880 is a wasteful number, since it uses less digits than its factorization.

135650880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 135650880 is about 11646.9257746411. The cubic root of 135650880 is about 513.8158989828.

The spelling of 135650880 in words is "one hundred thirty-five million, six hundred fifty thousand, eight hundred eighty".