1356134400 has 432 divisors, whose sum is σ = 5082877800. Its totient is φ = 358318080.

The previous prime is 1356134333. The next prime is 1356134431. The reversal of 1356134400 is 44316531.

1356134400 is a `hidden beast` number, since 1 + 3 + 5 + 613 + 4 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 12441546 + ... + 12441654.

Almost surely, 2^1356134400 is an apocalyptic number.

1356134400 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 1356134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2541438900).

1356134400 is an abundant number, since it is smaller than the sum of its proper divisors (3726743400).

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

1356134400 is an equidigital number, since it uses as much as digits as its factorization.

1356134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 119 counting only the distinct ones).

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

The square root of 1356134400 is about 36825.7301353279. The cubic root of 1356134400 is about 1106.8809442985.

It can be divided in two parts, 13561 and 34400, that added together give a square (47961 = 219²).

The spelling of 1356134400 in words is "one billion, three hundred fifty-six million, one hundred thirty-four thousand, four hundred".