1293138 has 64 divisors (see below), whose sum is σ = 3594240. Its totient is φ = 334800.

The previous prime is 1293137. The next prime is 1293157. The reversal of 1293138 is 8313921.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1293133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4003 + ... + 4313.

It is an arithmetic number, because the mean of its divisors is an integer number (56160).

2^1293138 is an apocalyptic number.

1293138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1293138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1797120).

1293138 is an abundant number, since it is smaller than the sum of its proper divisors (2301102).

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

1293138 is a wasteful number, since it uses less digits than its factorization.

1293138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 334 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 1293138 is about 1137.1622575517. The cubic root of 1293138 is about 108.9469202604.

It can be divided in two parts, 1293 and 138, that added together give a triangular number (1431 = T₅₃).

The spelling of 1293138 in words is "one million, two hundred ninety-three thousand, one hundred thirty-eight".