1500135 has 48 divisors (see below), whose sum is σ = 3026016. Its totient is φ = 628992.

The previous prime is 1500133. The next prime is 1500139. The reversal of 1500135 is 5310051.

It is not a de Polignac number, because 1500135 - 2¹ = 1500133 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

1500135 is a modest number, since divided by 135 gives 15 as remainder.

1500135 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1500133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9477 + ... + 9633.

It is an arithmetic number, because the mean of its divisors is an integer number (63042).

2^1500135 is an apocalyptic number.

1500135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1500135 is an abundant number, since it is smaller than the sum of its proper divisors (1525881).

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

1500135 is a wasteful number, since it uses less digits than its factorization.

1500135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 75, while the sum is 15.

The square root of 1500135 is about 1224.7999836708. The cubic root of 1500135 is about 114.4748582950.

Adding to 1500135 its reverse (5310051), we get a palindrome (6810186).

It can be divided in two parts, 1500 and 135, that multiplied together give a square (202500 = 450²).

The spelling of 1500135 in words is "one million, five hundred thousand, one hundred thirty-five".