85137952 has 24 divisors (see below), whose sum is σ = 168112476. Its totient is φ = 42442752.

The previous prime is 85137907. The next prime is 85137953. The reversal of 85137952 is 25973158.

It can be written as a sum of positive squares in 2 ways, for example, as 84566416 + 571536 = 9196^2 + 756^2 .

It is not an unprimeable number, because it can be changed into a prime (85137953) by changing a digit.

It is an upside-down number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7528 + ... + 15064.

Almost surely, 2^85137952 is an apocalyptic number.

It is an amenable number.

85137952 is a deficient number, since it is larger than the sum of its proper divisors (82974524).

85137952 is a wasteful number, since it uses less digits than its factorization.

85137952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7900 (or 7892 counting only the distinct ones).

The product of its digits is 75600, while the sum is 40.

The square root of 85137952 is about 9227.0229218313. The cubic root of 85137952 is about 439.9207019630.

The spelling of 85137952 in words is "eighty-five million, one hundred thirty-seven thousand, nine hundred fifty-two".