149760 has 108 divisors (see below), whose sum is σ = 558012. Its totient is φ = 36864.

The previous prime is 149759. The next prime is 149767. The reversal of 149760 is 67941.

It can be written as a sum of positive squares in 2 ways, for example, as 36864 + 112896 = 192^2 + 336^2 .

It is a nialpdrome in base 8 and base 13.

It is a zygodrome in base 8.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 149760.

It is not an unprimeable number, because it can be changed into a prime (149767) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11514 + ... + 11526.

2¹⁴⁹⁷⁶⁰ is an apocalyptic number.

149760 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 149760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279006).

149760 is an abundant number, since it is smaller than the sum of its proper divisors (408252).

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

149760 is a wasteful number, since it uses less digits than its factorization.

149760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 149760 is about 386.9883719183. The cubic root of 149760 is about 53.1045757705.

It can be divided in two parts, 149 and 760, that added together give a palindrome (909).

The spelling of 149760 in words is "one hundred forty-nine thousand, seven hundred sixty".