5135400 has 120 divisors (see below), whose sum is σ = 17892270. Its totient is φ = 1365120.

The previous prime is 5135387. The next prime is 5135401. The reversal of 5135400 is 45315.

It can be written as a sum of positive squares in 3 ways, for example, as 2452356 + 2683044 = 1566^2 + 1638^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (5135401) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 16042 + ... + 16358.

Almost surely, 2^5135400 is an apocalyptic number.

5135400 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 5135400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8946135).

5135400 is an abundant number, since it is smaller than the sum of its proper divisors (12756870).

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

5135400 is a wasteful number, since it uses less digits than its factorization.

5135400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 5135400 is about 2266.1420961626. The cubic root of 5135400 is about 172.5274058536.

The spelling of 5135400 in words is "five million, one hundred thirty-five thousand, four hundred".