135626400 has 720 divisors, whose sum is σ = 635209344. Its totient is φ = 27371520.

The previous prime is 135626347. The next prime is 135626437. The reversal of 135626400 is 4626531.

135626400 is a `hidden beast` number, since 1 + 35 + 626 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5896789 + ... + 5896811.

Almost surely, 2^135626400 is an apocalyptic number.

135626400 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 135626400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317604672).

135626400 is an abundant number, since it is smaller than the sum of its proper divisors (499582944).

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

135626400 is a wasteful number, since it uses less digits than its factorization.

135626400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 135626400 is about 11645.8748061277. The cubic root of 135626400 is about 513.7849888259.

The spelling of 135626400 in words is "one hundred thirty-five million, six hundred twenty-six thousand, four hundred".