149152000 has 144 divisors (see below), whose sum is σ = 382636800. Its totient is φ = 57907200.

The previous prime is 149151997. The next prime is 149152001. The reversal of 149152000 is 251941.

It is not an unprimeable number, because it can be changed into a prime (149152001) 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, 1887961 + ... + 1888039.

It is an arithmetic number, because the mean of its divisors is an integer number (2657200).

Almost surely, 2^149152000 is an apocalyptic number.

149152000 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 149152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191318400).

149152000 is an abundant number, since it is smaller than the sum of its proper divisors (233484800).

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

149152000 is an frugal number, since it uses more digits than its factorization.

149152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 149152000 is about 12212.7801912587. The cubic root of 149152000 is about 530.3261313045.

The spelling of 149152000 in words is "one hundred forty-nine million, one hundred fifty-two thousand".