135566400 has 168 divisors, whose sum is σ = 453038464. Its totient is φ = 35481600.

The previous prime is 135566399. The next prime is 135566407. The reversal of 135566400 is 4665531.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (135566407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 292569 + ... + 293031.

Almost surely, 2^135566400 is an apocalyptic number.

135566400 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 135566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226519232).

135566400 is an abundant number, since it is smaller than the sum of its proper divisors (317472064).

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

135566400 is a wasteful number, since it uses less digits than its factorization.

135566400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 135566400 is about 11643.2985017133. The cubic root of 135566400 is about 513.7092129044.

The spelling of 135566400 in words is "one hundred thirty-five million, five hundred sixty-six thousand, four hundred".