135977280 has 112 divisors (see below), whose sum is σ = 434522880. Its totient is φ = 36026368.

The previous prime is 135977273. The next prime is 135977287. The reversal of 135977280 is 82779531.

It is an interprime number because it is at equal distance from previous prime (135977273) and next prime (135977287).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135977287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188761 + ... + 189479.

Almost surely, 2^135977280 is an apocalyptic number.

135977280 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 135977280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217261440).

135977280 is an abundant number, since it is smaller than the sum of its proper divisors (298545600).

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

135977280 is a wasteful number, since it uses less digits than its factorization.

135977280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The square root of 135977280 is about 11660.9296370401. The cubic root of 135977280 is about 514.2276795183.

The spelling of 135977280 in words is "one hundred thirty-five million, nine hundred seventy-seven thousand, two hundred eighty".