91152000 has 256 divisors, whose sum is σ = 337334400. Its totient is φ = 24192000.

The previous prime is 91151999. The next prime is 91152023. The reversal of 91152000 is 25119.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 431895 + ... + 432105.

Almost surely, 2^91152000 is an apocalyptic number.

91152000 is a gapful number since it is divisible by the number (90) 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 91152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168667200).

91152000 is an abundant number, since it is smaller than the sum of its proper divisors (246182400).

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

91152000 is a wasteful number, since it uses less digits than its factorization.

91152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 91152000 is about 9547.3556548397. The cubic root of 91152000 is about 450.0444400556.

Adding to 91152000 its reverse (25119), we get a palindrome (91177119).

The spelling of 91152000 in words is "ninety-one million, one hundred fifty-two thousand".