1306455150 has 432 divisors, whose sum is σ = 4500930672. Its totient is φ = 248371200.

The previous prime is 1306455097. The next prime is 1306455173. The reversal of 1306455150 is 515546031.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 11561494 + ... + 11561606.

It is an arithmetic number, because the mean of its divisors is an integer number (10418821).

Almost surely, 2^1306455150 is an apocalyptic number.

1306455150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1306455150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2250465336).

1306455150 is an abundant number, since it is smaller than the sum of its proper divisors (3194475522).

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

1306455150 is a wasteful number, since it uses less digits than its factorization.

1306455150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The square root of 1306455150 is about 36144.9187300234. The cubic root of 1306455150 is about 1093.1963384478.

The spelling of 1306455150 in words is "one billion, three hundred six million, four hundred fifty-five thousand, one hundred fifty".