149168880 has 240 divisors, whose sum is σ = 606550464. Its totient is φ = 32071680.

The previous prime is 149168843. The next prime is 149168881. The reversal of 149168880 is 88861941.

149168880 is a `hidden beast` number, since 1 + 491 + 6 + 88 + 80 = 666.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149168881) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 84810 + ... + 86550.

Almost surely, 2^149168880 is an apocalyptic number.

149168880 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 149168880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303275232).

149168880 is an abundant number, since it is smaller than the sum of its proper divisors (457381584).

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

149168880 is a wasteful number, since it uses less digits than its factorization.

149168880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1784 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 149168880 is about 12213.4712510408. The cubic root of 149168880 is about 530.3461367741.

The spelling of 149168880 in words is "one hundred forty-nine million, one hundred sixty-eight thousand, eight hundred eighty".