149184000 has 480 divisors, whose sum is σ = 630691776. Its totient is φ = 33177600.

The previous prime is 149183987. The next prime is 149184011. The reversal of 149184000 is 481941.

149184000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4031982 + ... + 4032018.

Almost surely, 2^149184000 is an apocalyptic number.

149184000 is a gapful number since it is divisible by the number (10) 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 149184000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315345888).

149184000 is an abundant number, since it is smaller than the sum of its proper divisors (481507776).

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

149184000 is an equidigital number, since it uses as much as digits as its factorization.

149184000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 149184000 is about 12214.0902239995. The cubic root of 149184000 is about 530.3640550841.

It can be divided in two parts, 1491 and 84000, that added together give a triangular number (85491 = T₄₁₃).

The spelling of 149184000 in words is "one hundred forty-nine million, one hundred eighty-four thousand".