96138000 has 360 divisors, whose sum is σ = 394182360. Its totient is φ = 21772800.

The previous prime is 96137947. The next prime is 96138001. The reversal of 96138000 is 83169.

It can be written as a sum of positive squares in 4 ways, for example, as 1192464 + 94945536 = 1092^2 + 9744^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (96138001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 881946 + ... + 882054.

It is an arithmetic number, because the mean of its divisors is an integer number (1094951).

Almost surely, 2^96138000 is an apocalyptic number.

96138000 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 96138000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197091180).

96138000 is an abundant number, since it is smaller than the sum of its proper divisors (298044360).

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

96138000 is a wasteful number, since it uses less digits than its factorization.

96138000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 96138000 is about 9804.9987251402. The cubic root of 96138000 is about 458.1049955375.

The spelling of 96138000 in words is "ninety-six million, one hundred thirty-eight thousand".