5136000 has 128 divisors (see below), whose sum is σ = 17184960. Its totient is φ = 1356800.

The previous prime is 5135983. The next prime is 5136011. The reversal of 5136000 is 6315.

It is a tau number, because it is divible by the number of its divisors (128).

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

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, 47947 + ... + 48053.

Almost surely, 2^5136000 is an apocalyptic number.

5136000 is a gapful number since it is divisible by the number (50) 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 5136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8592480).

5136000 is an abundant number, since it is smaller than the sum of its proper divisors (12048960).

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

5136000 is a wasteful number, since it uses less digits than its factorization.

5136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 5136000 is about 2266.2744758744. The cubic root of 5136000 is about 172.5341247338.

The spelling of 5136000 in words is "five million, one hundred thirty-six thousand".