1306466148 has 192 divisors, whose sum is σ = 3584673792. Its totient is φ = 367150080.

The previous prime is 1306466137. The next prime is 1306466149. The reversal of 1306466148 is 8416646031.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (1306466149) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12209911 + ... + 12210017.

It is an arithmetic number, because the mean of its divisors is an integer number (18670176).

Almost surely, 2^1306466148 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1306466148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1792336896).

1306466148 is an abundant number, since it is smaller than the sum of its proper divisors (2278207644).

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

1306466148 is a wasteful number, since it uses less digits than its factorization.

1306466148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 1306466148 is about 36145.0708672704. The cubic root of 1306466148 is about 1093.1994060208.

The spelling of 1306466148 in words is "one billion, three hundred six million, four hundred sixty-six thousand, one hundred forty-eight".