89129152 has 112 divisors (see below), whose sum is σ = 219293440. Its totient is φ = 35085312.

The previous prime is 89129149. The next prime is 89129177. The reversal of 89129152 is 25192198.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 314803 + ... + 315085.

Almost surely, 2^89129152 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 89129152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109646720).

89129152 is an abundant number, since it is smaller than the sum of its proper divisors (130164288).

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

89129152 is a wasteful number, since it uses less digits than its factorization.

89129152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 348 counting only the distinct ones).

The product of its digits is 12960, while the sum is 37.

The square root of 89129152 is about 9440.8236928777. The cubic root of 89129152 is about 446.6903717525.

The spelling of 89129152 in words is "eighty-nine million, one hundred twenty-nine thousand, one hundred fifty-two".