149052960 has 480 divisors, whose sum is σ = 632282112. Its totient is φ = 32348160.

The previous prime is 149052947. The next prime is 149052961. The reversal of 149052960 is 69250941.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149052961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2812294 + ... + 2812346.

Almost surely, 2^149052960 is an apocalyptic number.

149052960 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 149052960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316141056).

149052960 is an abundant number, since it is smaller than the sum of its proper divisors (483229152).

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

149052960 is a wasteful number, since it uses less digits than its factorization.

149052960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 149052960 is about 12208.7247491292. The cubic root of 149052960 is about 530.2087228221.

The spelling of 149052960 in words is "one hundred forty-nine million, fifty-two thousand, nine hundred sixty".