1506135 has 32 divisors (see below), whose sum is σ = 2580480. Its totient is φ = 748800.

The previous prime is 1506121. The next prime is 1506137. The reversal of 1506135 is 5316051.

It is a happy number.

It is not a de Polignac number, because 1506135 - 2⁵ = 1506103 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1506137) 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, 19026 + ... + 19104.

It is an arithmetic number, because the mean of its divisors is an integer number (80640).

2^1506135 is an apocalyptic number.

1506135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1506135 is a deficient number, since it is larger than the sum of its proper divisors (1074345).

1506135 is a wasteful number, since it uses less digits than its factorization.

1506135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159.

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 1506135 is about 1227.2469189206. The cubic root of 1506135 is about 114.6272746804.

The spelling of 1506135 in words is "one million, five hundred six thousand, one hundred thirty-five".