85137888 has 96 divisors (see below), whose sum is σ = 250508160. Its totient is φ = 25090560.

The previous prime is 85137869. The next prime is 85137907. The reversal of 85137888 is 88873158.

It is an interprime number because it is at equal distance from previous prime (85137869) and next prime (85137907).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (430080) is a multiple of the sum of its prime factors (2240).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 37983 + ... + 40161.

It is an arithmetic number, because the mean of its divisors is an integer number (2609460).

Almost surely, 2^85137888 is an apocalyptic number.

85137888 is a gapful number since it is divisible by the number (88) 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 85137888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125254080).

85137888 is an abundant number, since it is smaller than the sum of its proper divisors (165370272).

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

85137888 is a wasteful number, since it uses less digits than its factorization.

85137888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2240 (or 2232 counting only the distinct ones).

The product of its digits is 430080, while the sum is 48.

The square root of 85137888 is about 9227.0194537565. The cubic root of 85137888 is about 439.9205917304.

The spelling of 85137888 in words is "eighty-five million, one hundred thirty-seven thousand, eight hundred eighty-eight".