149813280 has 96 divisors (see below), whose sum is σ = 524361600. Its totient is φ = 39949056.

The previous prime is 149813269. The next prime is 149813281. The reversal of 149813280 is 82318941.

It is a tau number, because it is divible by the number of its divisors (96).

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 (149813281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13020 + ... + 21659.

It is an arithmetic number, because the mean of its divisors is an integer number (5462100).

Almost surely, 2^149813280 is an apocalyptic number.

149813280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

149813280 is an abundant number, since it is smaller than the sum of its proper divisors (374548320).

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

149813280 is a wasteful number, since it uses less digits than its factorization.

149813280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34703 (or 34689 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 149813280 is about 12239.8235281396. The cubic root of 149813280 is about 531.1087268180.

The spelling of 149813280 in words is "one hundred forty-nine million, eight hundred thirteen thousand, two hundred eighty".