149986080 has 240 divisors, whose sum is σ = 540074304. Its totient is φ = 39191040.

The previous prime is 149986079. The next prime is 149986097. The reversal of 149986080 is 80689941.

149986080 is a `hidden beast` number, since 1 + 499 + 86 + 0 + 80 = 666.

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

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 920079 + ... + 920241.

Almost surely, 2^149986080 is an apocalyptic number.

149986080 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 149986080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270037152).

149986080 is an abundant number, since it is smaller than the sum of its proper divisors (390088224).

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

149986080 is a wasteful number, since it uses less digits than its factorization.

149986080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 244 counting only the distinct ones).

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

The square root of 149986080 is about 12246.8804191108. The cubic root of 149986080 is about 531.3128482970.

The spelling of 149986080 in words is "one hundred forty-nine million, nine hundred eighty-six thousand, eighty".