1445131800 has 192 divisors, whose sum is σ = 5688921600. Its totient is φ = 330307200.

The previous prime is 1445131769. The next prime is 1445131813. The reversal of 1445131800 is 81315441.

It is a happy number.

1445131800 is a `hidden beast` number, since 144 + 513 + 1 + 8 + 0 + 0 = 666.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18685 + ... + 56915.

It is an arithmetic number, because the mean of its divisors is an integer number (29629800).

Almost surely, 2^1445131800 is an apocalyptic number.

1445131800 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 1445131800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2844460800).

1445131800 is an abundant number, since it is smaller than the sum of its proper divisors (4243789800).

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

1445131800 is a wasteful number, since it uses less digits than its factorization.

1445131800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38263 (or 38248 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1445131800 is about 38014.8891883167. The cubic root of 1445131800 is about 1130.5830911368.

The spelling of 1445131800 in words is "one billion, four hundred forty-five million, one hundred thirty-one thousand, eight hundred".