36148320 has 144 divisors (see below), whose sum is σ = 132913872. Its totient is φ = 8893440.

The previous prime is 36148303. The next prime is 36148327. The reversal of 36148320 is 2384163.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36148327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17755 + ... + 19685.

It is an arithmetic number, because the mean of its divisors is an integer number (923013).

Almost surely, 2^36148320 is an apocalyptic number.

36148320 is a gapful number since it is divisible by the number (30) 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 36148320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66456936).

36148320 is an abundant number, since it is smaller than the sum of its proper divisors (96765552).

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

36148320 is a wasteful number, since it uses less digits than its factorization.

36148320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1965 (or 1954 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 36148320 is about 6012.3472953581. The cubic root of 36148320 is about 330.6455682283.

The spelling of 36148320 in words is "thirty-six million, one hundred forty-eight thousand, three hundred twenty".