149858560 has 108 divisors (see below), whose sum is σ = 373677948. Its totient is φ = 57561088.

The previous prime is 149858549. The next prime is 149858609. The reversal of 149858560 is 65858941.

It can be written as a sum of positive squares in 2 ways, for example, as 81432576 + 68425984 = 9024^2 + 8272^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 149858560.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2827494 + ... + 2827546.

It is an arithmetic number, because the mean of its divisors is an integer number (3459981).

Almost surely, 2^149858560 is an apocalyptic number.

149858560 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 149858560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186838974).

149858560 is an abundant number, since it is smaller than the sum of its proper divisors (223819388).

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

149858560 is an frugal number, since it uses more digits than its factorization.

149858560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 46.

The square root of 149858560 is about 12241.6730882670. The cubic root of 149858560 is about 531.1622293752.

The spelling of 149858560 in words is "one hundred forty-nine million, eight hundred fifty-eight thousand, five hundred sixty".