149047680 has 128 divisors (see below), whose sum is σ = 479196000. Its totient is φ = 39403520.

The previous prime is 149047663. The next prime is 149047681. The reversal of 149047680 is 86740941.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×149047680³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149047681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 285820 + ... + 286340.

Almost surely, 2^149047680 is an apocalyptic number.

149047680 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 149047680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239598000).

149047680 is an abundant number, since it is smaller than the sum of its proper divisors (330148320).

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

149047680 is a wasteful number, since it uses less digits than its factorization.

149047680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 149047680 is about 12208.5085084133. The cubic root of 149047680 is about 530.2024621053.

The spelling of 149047680 in words is "one hundred forty-nine million, forty-seven thousand, six hundred eighty".