149927760 has 200 divisors, whose sum is σ = 551757096. Its totient is φ = 37601280.

The previous prime is 149927753. The next prime is 149927779. The reversal of 149927760 is 67729941.

It can be written as a sum of positive squares in 4 ways, for example, as 12194064 + 137733696 = 3492^2 + 11736^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 109480 + ... + 110840.

Almost surely, 2^149927760 is an apocalyptic number.

149927760 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 149927760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275878548).

149927760 is an abundant number, since it is smaller than the sum of its proper divisors (401829336).

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

149927760 is a wasteful number, since it uses less digits than its factorization.

149927760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1403 (or 1388 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 149927760 is about 12244.4991730981. The cubic root of 149927760 is about 531.2439748336.

The spelling of 149927760 in words is "one hundred forty-nine million, nine hundred twenty-seven thousand, seven hundred sixty".