135688400 has 120 divisors (see below), whose sum is σ = 340332384. Its totient is φ = 51955200.

The previous prime is 135688391. The next prime is 135688409. The reversal of 135688400 is 4886531.

It is an interprime number because it is at equal distance from previous prime (135688391) and next prime (135688409).

It is a super-2 number, since 2×135688400² = 36822683789120000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135688409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1634759 + ... + 1634841.

Almost surely, 2^135688400 is an apocalyptic number.

135688400 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 135688400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170166192).

135688400 is an abundant number, since it is smaller than the sum of its proper divisors (204643984).

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

135688400 is a wasteful number, since it uses less digits than its factorization.

135688400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 135688400 is about 11648.5363887486. The cubic root of 135688400 is about 513.8632671369.

The spelling of 135688400 in words is "one hundred thirty-five million, six hundred eighty-eight thousand, four hundred".