1505404134 has 96 divisors (see below), whose sum is σ = 3623072544. Its totient is φ = 448796160.

The previous prime is 1505404133. The next prime is 1505404223. The reversal of 1505404134 is 4314045051.

It is a happy number.

1505404134 is a `hidden beast` number, since 1 + 50 + 540 + 41 + 34 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1505404098 and 1505404107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1505404133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1659309 + ... + 1660215.

It is an arithmetic number, because the mean of its divisors is an integer number (37740339).

Almost surely, 2^1505404134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1505404134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1811536272).

1505404134 is an abundant number, since it is smaller than the sum of its proper divisors (2117668410).

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

1505404134 is a wasteful number, since it uses less digits than its factorization.

1505404134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 1505404134 is about 38799.5378065255. The cubic root of 1505404134 is about 1146.0873036383.

Adding to 1505404134 its reverse (4314045051), we get a palindrome (5819449185).

The spelling of 1505404134 in words is "one billion, five hundred five million, four hundred four thousand, one hundred thirty-four".