7138600 has 48 divisors (see below), whose sum is σ = 18972000. Its totient is φ = 2447040.

The previous prime is 7138577. The next prime is 7138603. The reversal of 7138600 is 68317.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (7138603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1150 + ... + 3949.

It is an arithmetic number, because the mean of its divisors is an integer number (395250).

Almost surely, 2^7138600 is an apocalyptic number.

7138600 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

7138600 is an abundant number, since it is smaller than the sum of its proper divisors (11833400).

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

7138600 is a wasteful number, since it uses less digits than its factorization.

7138600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5122 (or 5113 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 7138600 is about 2671.8158619186. The cubic root of 7138600 is about 192.5474105970.

The spelling of 7138600 in words is "seven million, one hundred thirty-eight thousand, six hundred".