149364000 has 240 divisors, whose sum is σ = 549404856. Its totient is φ = 39744000.

The previous prime is 149363999. The next prime is 149364011. The reversal of 149364000 is 463941.

149364000 is a `hidden beast` number, since 14 + 9 + 3 + 640 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 31945104 + 117418896 = 5652^2 + 10836^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 323770 + ... + 324230.

Almost surely, 2^149364000 is an apocalyptic number.

149364000 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 149364000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274702428).

149364000 is an abundant number, since it is smaller than the sum of its proper divisors (400040856).

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

149364000 is an equidigital number, since it uses as much as digits as its factorization.

149364000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 149364000 is about 12221.4565416729. The cubic root of 149364000 is about 530.5772753591.

The spelling of 149364000 in words is "one hundred forty-nine million, three hundred sixty-four thousand".