135688500 has 288 divisors, whose sum is σ = 483100800. Its totient is φ = 32788800.

The previous prime is 135688463. The next prime is 135688507. The reversal of 135688500 is 5886531.

135688500 is a `hidden beast` number, since 13 + 568 + 85 + 0 + 0 = 666.

It is a super-2 number, since 2×135688500² = 36822738064500000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135688507) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 5899489 + ... + 5899511.

Almost surely, 2^135688500 is an apocalyptic number.

135688500 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 135688500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241550400).

135688500 is an abundant number, since it is smaller than the sum of its proper divisors (347412300).

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

135688500 is a wasteful number, since it uses less digits than its factorization.

135688500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 135688500 is about 11648.5406811326. The cubic root of 135688500 is about 513.8633933730.

The spelling of 135688500 in words is "one hundred thirty-five million, six hundred eighty-eight thousand, five hundred".