135938880 has 336 divisors, whose sum is σ = 583899264. Its totient is φ = 28200960.

The previous prime is 135938879. The next prime is 135938893. The reversal of 135938880 is 88839531.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 221454 + ... + 222066.

Almost surely, 2^135938880 is an apocalyptic number.

135938880 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 135938880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291949632).

135938880 is an abundant number, since it is smaller than the sum of its proper divisors (447960384).

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

135938880 is a wasteful number, since it uses less digits than its factorization.

135938880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 135938880 is about 11659.2829968227. The cubic root of 135938880 is about 514.1792689751.

The spelling of 135938880 in words is "one hundred thirty-five million, nine hundred thirty-eight thousand, eight hundred eighty".