85153152 has 128 divisors (see below), whose sum is σ = 262425600. Its totient is φ = 23961600.

The previous prime is 85153147. The next prime is 85153157. The reversal of 85153152 is 25135158.

It is an interprime number because it is at equal distance from previous prime (85153147) and next prime (85153157).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85153157) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212152 + ... + 212552.

It is an arithmetic number, because the mean of its divisors is an integer number (2050200).

Almost surely, 2^85153152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85153152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131212800).

85153152 is an abundant number, since it is smaller than the sum of its proper divisors (177272448).

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

85153152 is a wasteful number, since it uses less digits than its factorization.

85153152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 492 counting only the distinct ones).

The product of its digits is 6000, while the sum is 30.

The square root of 85153152 is about 9227.8465526904. The cubic root of 85153152 is about 439.9468806397.

The spelling of 85153152 in words is "eighty-five million, one hundred fifty-three thousand, one hundred fifty-two".