135719280 has 160 divisors (see below), whose sum is σ = 492230400. Its totient is φ = 34276608.

The previous prime is 135719267. The next prime is 135719281. The reversal of 135719280 is 82917531.

135719280 is a `hidden beast` number, since 1 + 3 + 571 + 9 + 2 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135719281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39387 + ... + 42693.

It is an arithmetic number, because the mean of its divisors is an integer number (3076440).

Almost surely, 2^135719280 is an apocalyptic number.

135719280 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 135719280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246115200).

135719280 is an abundant number, since it is smaller than the sum of its proper divisors (356511120).

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

135719280 is a wasteful number, since it uses less digits than its factorization.

135719280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3348 (or 3336 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 135719280 is about 11649.8618017554. The cubic root of 135719280 is about 513.9022458904.

The spelling of 135719280 in words is "one hundred thirty-five million, seven hundred nineteen thousand, two hundred eighty".