88133500 has 144 divisors (see below), whose sum is σ = 239803200. Its totient is φ = 27705600.

The previous prime is 88133497. The next prime is 88133501. The reversal of 88133500 is 533188.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88133501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 591426 + ... + 591574.

It is an arithmetic number, because the mean of its divisors is an integer number (1665300).

Almost surely, 2^88133500 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 88133500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119901600).

88133500 is an abundant number, since it is smaller than the sum of its proper divisors (151669700).

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

88133500 is a wasteful number, since it uses less digits than its factorization.

88133500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 88133500 is about 9387.9443969380. The cubic root of 88133500 is about 445.0208297282.

Adding to 88133500 its reverse (533188), we get a palindrome (88666688).

The spelling of 88133500 in words is "eighty-eight million, one hundred thirty-three thousand, five hundred".