149759280 has 300 divisors, whose sum is σ = 574713216. Its totient is φ = 36115200.

The previous prime is 149759261. The next prime is 149759293. The reversal of 149759280 is 82957941.

It is a super-2 number, since 2×149759280² = 44855683892236800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 783985 + ... + 784175.

Almost surely, 2^149759280 is an apocalyptic number.

149759280 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 149759280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287356608).

149759280 is an abundant number, since it is smaller than the sum of its proper divisors (424953936).

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

149759280 is a wasteful number, since it uses less digits than its factorization.

149759280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 149759280 is about 12237.6174151671. The cubic root of 149759280 is about 531.0449066685.

The spelling of 149759280 in words is "one hundred forty-nine million, seven hundred fifty-nine thousand, two hundred eighty".