1381145472 has 256 divisors, whose sum is σ = 4787635200. Its totient is φ = 383698944.

The previous prime is 1381145459. The next prime is 1381145483. The reversal of 1381145472 is 2745411831.

1381145472 is a `hidden beast` number, since 138 + 1 + 1 + 454 + 72 = 666.

It is a super-2 number, since 2×1381145472² = 3815125629652205568, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 894333 + ... + 895875.

It is an arithmetic number, because the mean of its divisors is an integer number (18701700).

Almost surely, 2^1381145472 is an apocalyptic number.

1381145472 is a gapful number since it is divisible by the number (12) 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 1381145472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2393817600).

1381145472 is an abundant number, since it is smaller than the sum of its proper divisors (3406489728).

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

1381145472 is a wasteful number, since it uses less digits than its factorization.

1381145472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1610 (or 1592 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 1381145472 is about 37163.7655788538. The cubic root of 1381145472 is about 1113.6442387301.

The spelling of 1381145472 in words is "one billion, three hundred eighty-one million, one hundred forty-five thousand, four hundred seventy-two".