1290145500 has 216 divisors, whose sum is σ = 4735274544. Its totient is φ = 294840000.

The previous prime is 1290145477. The next prime is 1290145517. The reversal of 1290145500 is 55410921.

1290145500 is a `hidden beast` number, since 12 + 9 + 0 + 145 + 500 = 666.

It is a super-2 number, since 2×1290145500² = 3328950822340500000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 217575 + ... + 223425.

Almost surely, 2^1290145500 is an apocalyptic number.

1290145500 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 1290145500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2367637272).

1290145500 is an abundant number, since it is smaller than the sum of its proper divisors (3445129044).

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

1290145500 is a wasteful number, since it uses less digits than its factorization.

1290145500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5890 (or 5868 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 1290145500 is about 35918.5954625177. The cubic root of 1290145500 is about 1088.6281594188.

The spelling of 1290145500 in words is "one billion, two hundred ninety million, one hundred forty-five thousand, five hundred".