149345680 has 160 divisors (see below), whose sum is σ = 409795200. Its totient is φ = 50012160.

The previous prime is 149345641. The next prime is 149345687. The reversal of 149345680 is 86543941.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (149345687) 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 31 ways as a sum of consecutive naturals, for example, 1002246 + ... + 1002394.

It is an arithmetic number, because the mean of its divisors is an integer number (2561220).

Almost surely, 2^149345680 is an apocalyptic number.

149345680 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 149345680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204897600).

149345680 is an abundant number, since it is smaller than the sum of its proper divisors (260449520).

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

149345680 is a wasteful number, since it uses less digits than its factorization.

149345680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 149345680 is about 12220.7070171901. The cubic root of 149345680 is about 530.5555821062. Note that the first 4 decimals are identical.

The spelling of 149345680 in words is "one hundred forty-nine million, three hundred forty-five thousand, six hundred eighty".