149208480 has 240 divisors, whose sum is σ = 546111720. Its totient is φ = 38320128.

The previous prime is 149208461. The next prime is 149208523. The reversal of 149208480 is 84802941.

It can be written as a sum of positive squares in 4 ways, for example, as 130233744 + 18974736 = 11412^2 + 4356^2 .

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 (36).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 375642 + ... + 376038.

Almost surely, 2^149208480 is an apocalyptic number.

149208480 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 149208480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273055860).

149208480 is an abundant number, since it is smaller than the sum of its proper divisors (396903240).

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

149208480 is a wasteful number, since it uses less digits than its factorization.

149208480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 149208480 is about 12215.0923041948. The cubic root of 149208480 is about 530.3930631144.

The spelling of 149208480 in words is "one hundred forty-nine million, two hundred eight thousand, four hundred eighty".