753138 has 20 divisors (see below), whose sum is σ = 1687950. Its totient is φ = 250992.

The previous prime is 753133. The next prime is 753139. The reversal of 753138 is 831357.

753138 is nontrivially palindromic in base 8.

It can be written as a sum of positive squares in only one way, i.e., 431649 + 321489 = 657^2 + 567^2 .

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

It is not an unprimeable number, because it can be changed into a prime (753133) by changing a digit.

753138 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2163 + ... + 2486.

2⁷⁵³¹³⁸ is an apocalyptic number.

753138 is an abundant number, since it is smaller than the sum of its proper divisors (934812).

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

753138 is a wasteful number, since it uses less digits than its factorization.

753138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4663 (or 4654 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 753138 is about 867.8352378188. The cubic root of 753138 is about 90.9825672036.

It can be divided in two parts, 7531 and 38, that added together give a square (7569 = 87²).

The spelling of 753138 in words is "seven hundred fifty-three thousand, one hundred thirty-eight".