135649800 has 576 divisors, whose sum is σ = 584962560. Its totient is φ = 27648000.

The previous prime is 135649777. The next prime is 135649823. The reversal of 135649800 is 8946531.

135649800 = 221² + 222² + ... + 747².

135649800 is a `hidden beast` number, since 1 + 3 + 5 + 649 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (135649777) and next prime (135649823).

It is a super-3 number, since 3×135649800³ (a number of 25 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4375785 + ... + 4375815.

It is an arithmetic number, because the mean of its divisors is an integer number (1015560).

Almost surely, 2^135649800 is an apocalyptic number.

135649800 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 135649800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292481280).

135649800 is an abundant number, since it is smaller than the sum of its proper divisors (449312760).

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

135649800 is a wasteful number, since it uses less digits than its factorization.

135649800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 135649800 is about 11646.8794103829. The cubic root of 135649800 is about 513.8145353778.

The spelling of 135649800 in words is "one hundred thirty-five million, six hundred forty-nine thousand, eight hundred".