1353945600 has 720 divisors, whose sum is σ = 5857517952. Its totient is φ = 291962880.

The previous prime is 1353945589. The next prime is 1353945611. The reversal of 1353945600 is 65493531.

1353945600 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 9 + 45 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (1353945589) and next prime (1353945611).

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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18547164 + ... + 18547236.

Almost surely, 2^1353945600 is an apocalyptic number.

1353945600 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 1353945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2928758976).

1353945600 is an abundant number, since it is smaller than the sum of its proper divisors (4503572352).

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

1353945600 is a wasteful number, since it uses less digits than its factorization.

1353945600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 1353945600 is about 36795.9997825851. Note that the first 3 decimals coincide. The cubic root of 1353945600 is about 1106.2851219338.

The spelling of 1353945600 in words is "one billion, three hundred fifty-three million, nine hundred forty-five thousand, six hundred".