135677700 has 144 divisors (see below), whose sum is σ = 450526720. Its totient is φ = 34992000.

The previous prime is 135677611. The next prime is 135677701. The reversal of 135677700 is 7776531.

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

It is not an unprimeable number, because it can be changed into a prime (135677701) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82890 + ... + 84510.

Almost surely, 2^135677700 is an apocalyptic number.

135677700 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 135677700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225263360).

135677700 is an abundant number, since it is smaller than the sum of its proper divisors (314849020).

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

135677700 is a wasteful number, since it uses less digits than its factorization.

135677700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1675 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 30870, while the sum is 36.

The square root of 135677700 is about 11648.0770945251. The cubic root of 135677700 is about 513.8497595183.

The spelling of 135677700 in words is "one hundred thirty-five million, six hundred seventy-seven thousand, seven hundred".