149521680 has 640 divisors, whose sum is σ = 685670400. Its totient is φ = 29030400.

The previous prime is 149521679. The next prime is 149521727. The reversal of 149521680 is 86125941.

149521680 is a `hidden beast` number, since 1 + 495 + 2 + 168 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4823265 + ... + 4823295.

It is an arithmetic number, because the mean of its divisors is an integer number (1071360).

Almost surely, 2^149521680 is an apocalyptic number.

149521680 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 149521680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342835200).

149521680 is an abundant number, since it is smaller than the sum of its proper divisors (536148720).

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

149521680 is a wasteful number, since it uses less digits than its factorization.

149521680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 149521680 is about 12227.9057896273. The cubic root of 149521680 is about 530.7639156077.

The spelling of 149521680 in words is "one hundred forty-nine million, five hundred twenty-one thousand, six hundred eighty".