1293020144 has 40 divisors (see below), whose sum is σ = 2706858000. Its totient is φ = 594805248.

The previous prime is 1293020101. The next prime is 1293020159. The reversal of 1293020144 is 4410203921.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53732 + ... + 73980.

It is an arithmetic number, because the mean of its divisors is an integer number (67671450).

Almost surely, 2^1293020144 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 1293020144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353429000).

1293020144 is an abundant number, since it is smaller than the sum of its proper divisors (1413837856).

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

1293020144 is a wasteful number, since it uses less digits than its factorization.

1293020144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20577 (or 20571 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 1293020144 is about 35958.5892937974. The cubic root of 1293020144 is about 1089.4361036916.

The spelling of 1293020144 in words is "one billion, two hundred ninety-three million, twenty thousand, one hundred forty-four".