149809680 has 240 divisors, whose sum is σ = 543179520. Its totient is φ = 36882432.

The previous prime is 149809663. The next prime is 149809691. The reversal of 149809680 is 86908941.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 642844 + ... + 643076.

It is an arithmetic number, because the mean of its divisors is an integer number (2263248).

Almost surely, 2^149809680 is an apocalyptic number.

149809680 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 149809680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271589760).

149809680 is an abundant number, since it is smaller than the sum of its proper divisors (393369840).

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

149809680 is a wasteful number, since it uses less digits than its factorization.

149809680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 149809680 is about 12239.6764663123. The cubic root of 149809680 is about 531.1044726186.

It can be divided in two parts, 1498096 and 80, that added together give a square (1498176 = 1224²).

The spelling of 149809680 in words is "one hundred forty-nine million, eight hundred nine thousand, six hundred eighty".