135977760 has 144 divisors (see below), whose sum is σ = 469680120. Its totient is φ = 35819520.

The previous prime is 135977741. The next prime is 135977783. The reversal of 135977760 is 67779531.

It can be written as a sum of positive squares in 4 ways, for example, as 98962704 + 37015056 = 9948^2 + 6084^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

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 23 ways as a sum of consecutive naturals, for example, 127630 + ... + 128690.

Almost surely, 2^135977760 is an apocalyptic number.

135977760 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 135977760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234840060).

135977760 is an abundant number, since it is smaller than the sum of its proper divisors (333702360).

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

135977760 is a wasteful number, since it uses less digits than its factorization.

135977760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 277830, while the sum is 45.

The square root of 135977760 is about 11660.9502185714. The cubic root of 135977760 is about 514.2282845924.

The spelling of 135977760 in words is "one hundred thirty-five million, nine hundred seventy-seven thousand, seven hundred sixty".