1378146 has 64 divisors (see below), whose sum is σ = 3640320. Its totient is φ = 336960.

The previous prime is 1378141. The next prime is 1378147. The reversal of 1378146 is 6418731.

1378146 = 4² + 5² + ... + 160².

It is a happy number.

1378146 is nontrivially palindromic in base 13.

1378146 is an esthetic number in base 12, because in such base its adjacent digits differ by 1.

1378146 is an undulating number in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1378141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8700 + ... + 8856.

It is an arithmetic number, because the mean of its divisors is an integer number (56880).

2^1378146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1378146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1820160).

1378146 is an abundant number, since it is smaller than the sum of its proper divisors (2262174).

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

1378146 is a wasteful number, since it uses less digits than its factorization.

1378146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199.

The product of its digits is 4032, while the sum is 30.

The square root of 1378146 is about 1173.9446324252. The cubic root of 1378146 is about 111.2837477046.

The spelling of 1378146 in words is "one million, three hundred seventy-eight thousand, one hundred forty-six".