149352000 has 336 divisors, whose sum is σ = 578193408. Its totient is φ = 33868800.

The previous prime is 149351963. The next prime is 149352013. The reversal of 149352000 is 253941.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1175937 + ... + 1176063.

Almost surely, 2^149352000 is an apocalyptic number.

149352000 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 149352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289096704).

149352000 is an abundant number, since it is smaller than the sum of its proper divisors (428841408).

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

149352000 is a wasteful number, since it uses less digits than its factorization.

149352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 149352000 is about 12220.9655919653. The cubic root of 149352000 is about 530.5630660052.

The spelling of 149352000 in words is "one hundred forty-nine million, three hundred fifty-two thousand".