149104560 has 80 divisors (see below), whose sum is σ = 504253440. Its totient is φ = 36145920.

The previous prime is 149104559. The next prime is 149104567. The reversal of 149104560 is 65401941.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149104567) 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, 25600 + ... + 30879.

It is an arithmetic number, because the mean of its divisors is an integer number (6303168).

Almost surely, 2^149104560 is an apocalyptic number.

149104560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

149104560 is an abundant number, since it is smaller than the sum of its proper divisors (355148880).

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

149104560 is a wasteful number, since it uses less digits than its factorization.

149104560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56506 (or 56500 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 149104560 is about 12210.8378090940. The cubic root of 149104560 is about 530.2698993186.

The spelling of 149104560 in words is "one hundred forty-nine million, one hundred four thousand, five hundred sixty".