1145145600 has 405 divisors, whose sum is σ = 4326129577. Its totient is φ = 298874880.

The previous prime is 1145145593. The next prime is 1145145629. The reversal of 1145145600 is 65415411.

The square root of 1145145600 is 33840.

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

1145145600 is a `hidden beast` number, since 1 + 1 + 4 + 51 + 4 + 5 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 412252416 + 732893184 = 20304^2 + 27072^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a super-2 number, since 2×1145145600² = 2622716890398720000, which contains 22 as substring.

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

It is a Duffinian number.

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 24364777 + ... + 24364823.

Almost surely, 2^1145145600 is an apocalyptic number.

1145145600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1145145600 is the 33840-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1145145600

1145145600 is an abundant number, since it is smaller than the sum of its proper divisors (3180983977).

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

1145145600 is an frugal number, since it uses more digits than its factorization.

1145145600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The cubic root of 1145145600 is about 1046.2132989014.

The spelling of 1145145600 in words is "one billion, one hundred forty-five million, one hundred forty-five thousand, six hundred".