149520000 has 320 divisors, whose sum is σ = 573566400. Its totient is φ = 33792000.

The previous prime is 149519963. The next prime is 149520001. The reversal of 149520000 is 25941.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (149520001) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1679956 + ... + 1680044.

It is an arithmetic number, because the mean of its divisors is an integer number (1792395).

Almost surely, 2^149520000 is an apocalyptic number.

149520000 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 149520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286783200).

149520000 is an abundant number, since it is smaller than the sum of its proper divisors (424046400).

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

149520000 is an frugal number, since it uses more digits than its factorization.

149520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 149520000 is about 12227.8370941062. The cubic root of 149520000 is about 530.7619277427.

Adding to 149520000 its reverse (25941), we get a palindrome (149545941).

The spelling of 149520000 in words is "one hundred forty-nine million, five hundred twenty thousand".