5146000 has 80 divisors (see below), whose sum is σ = 12999168. Its totient is φ = 1968000.

The previous prime is 5145991. The next prime is 5146003. The reversal of 5146000 is 6415.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (5146003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61959 + ... + 62041.

Almost surely, 2^5146000 is an apocalyptic number.

5146000 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 5146000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6499584).

5146000 is an abundant number, since it is smaller than the sum of its proper divisors (7853168).

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

5146000 is a wasteful number, since it uses less digits than its factorization.

5146000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 5146000 is about 2268.4796670898. The cubic root of 5146000 is about 172.6460291138.

The spelling of 5146000 in words is "five million, one hundred forty-six thousand".