905243136 has 160 divisors (see below), whose sum is σ = 2804820480. Its totient is φ = 254078976.

The previous prime is 905243123. The next prime is 905243159. The reversal of 905243136 is 631342509.

It is a super-2 number, since 2×905243136² = 1638930270550228992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 905243097 and 905243106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 633655 + ... + 635081.

It is an arithmetic number, because the mean of its divisors is an integer number (17530128).

Almost surely, 2^905243136 is an apocalyptic number.

905243136 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 905243136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402410240).

905243136 is an abundant number, since it is smaller than the sum of its proper divisors (1899577344).

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

905243136 is a wasteful number, since it uses less digits than its factorization.

905243136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1514 (or 1498 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 905243136 is about 30087.2586986585. The cubic root of 905243136 is about 967.3606414799.

The spelling of 905243136 in words is "nine hundred five million, two hundred forty-three thousand, one hundred thirty-six".