1145006700 has 288 divisors, whose sum is σ = 3671764992. Its totient is φ = 274560000.

The previous prime is 1145006689. The next prime is 1145006719. The reversal of 1145006700 is 76005411.

1145006700 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1145006700² = 2622080686089780000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11336650 + ... + 11336750.

It is an arithmetic number, because the mean of its divisors is an integer number (12749184).

Almost surely, 2^1145006700 is an apocalyptic number.

1145006700 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 1145006700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1835882496).

1145006700 is an abundant number, since it is smaller than the sum of its proper divisors (2526758292).

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

1145006700 is a wasteful number, since it uses less digits than its factorization.

1145006700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 1145006700 is about 33837.9476327983. The cubic root of 1145006700 is about 1046.1709971763.

The spelling of 1145006700 in words is "one billion, one hundred forty-five million, six thousand, seven hundred".