36148000 has 96 divisors (see below), whose sum is σ = 101582208. Its totient is φ = 12384000.

The previous prime is 36147989. The next prime is 36148003. The reversal of 36148000 is 84163.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36148003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27355 + ... + 28645.

It is an arithmetic number, because the mean of its divisors is an integer number (1058148).

Almost surely, 2^36148000 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 36148000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50791104).

36148000 is an abundant number, since it is smaller than the sum of its proper divisors (65434208).

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

36148000 is a wasteful number, since it uses less digits than its factorization.

36148000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1323 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 36148000 is about 6012.3206833967. The cubic root of 36148000 is about 330.6445925547.

The spelling of 36148000 in words is "thirty-six million, one hundred forty-eight thousand".