7137864 has 24 divisors (see below), whose sum is σ = 19331910. Its totient is φ = 2379264.

The previous prime is 7137859. The next prime is 7137877. The reversal of 7137864 is 4687317.

It can be written as a sum of positive squares in only one way, i.e., 7064964 + 72900 = 2658^2 + 270^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 49497 + ... + 49640.

Almost surely, 2^7137864 is an apocalyptic number.

It is an amenable number.

7137864 is an abundant number, since it is smaller than the sum of its proper divisors (12194046).

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

7137864 is a wasteful number, since it uses less digits than its factorization.

7137864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99149 (or 99142 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 7137864 is about 2671.6781243256. The cubic root of 7137864 is about 192.5407930640.

It can be divided in two parts, 7137 and 864, that added together give a triangular number (8001 = T₁₂₆).

The spelling of 7137864 in words is "seven million, one hundred thirty-seven thousand, eight hundred sixty-four".