1290134580 has 288 divisors, whose sum is σ = 4457005056. Its totient is φ = 273030912.

The previous prime is 1290134569. The next prime is 1290134581. The reversal of 1290134580 is 854310921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1290134581) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10158477 + ... + 10158603.

It is an arithmetic number, because the mean of its divisors is an integer number (15475712).

Almost surely, 2^1290134580 is an apocalyptic number.

1290134580 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 1290134580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2228502528).

1290134580 is an abundant number, since it is smaller than the sum of its proper divisors (3166870476).

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

1290134580 is a wasteful number, since it uses less digits than its factorization.

1290134580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 1290134580 is about 35918.4434517979. The cubic root of 1290134580 is about 1088.6250879686.

The spelling of 1290134580 in words is "one billion, two hundred ninety million, one hundred thirty-four thousand, five hundred eighty".