135377280 has 192 divisors, whose sum is σ = 492476400. Its totient is φ = 34172928.

The previous prime is 135377267. The next prime is 135377293. The reversal of 135377280 is 82773531.

135377280 is a `hidden beast` number, since 1 + 3 + 5 + 377 + 280 = 666.

It is an interprime number because it is at equal distance from previous prime (135377267) and next prime (135377293).

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 108822 + ... + 110058.

Almost surely, 2^135377280 is an apocalyptic number.

135377280 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 135377280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246238200).

135377280 is an abundant number, since it is smaller than the sum of its proper divisors (357099120).

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

135377280 is a wasteful number, since it uses less digits than its factorization.

135377280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1281 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 135377280 is about 11635.1742573973. The cubic root of 135377280 is about 513.4702207978.

The spelling of 135377280 in words is "one hundred thirty-five million, three hundred seventy-seven thousand, two hundred eighty".