1360134400 has 81 divisors (see below), whose sum is σ = 3373863703. Its totient is φ = 542873600.

The previous prime is 1360134397. The next prime is 1360134407. The reversal of 1360134400 is 44310631.

The square root of 1360134400 is 36880.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 139051264 + 1221083136 = 11792^2 + 34944^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1360134407) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2950170 + ... + 2950630.

Almost surely, 2^1360134400 is an apocalyptic number.

1360134400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1360134400 is the 36880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1360134400

1360134400 is an abundant number, since it is smaller than the sum of its proper divisors (2013729303).

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

1360134400 is an frugal number, since it uses more digits than its factorization.

1360134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The cubic root of 1360134400 is about 1107.9681467208.

The spelling of 1360134400 in words is "one billion, three hundred sixty million, one hundred thirty-four thousand, four hundred".