149529649680 has 120 divisors (see below), whose sum is σ = 502791569280. Its totient is φ = 39825250560.

The previous prime is 149529649673. The next prime is 149529649721. The reversal of 149529649680 is 86946925941.

149529649680 is a `hidden beast` number, since 1 + 4 + 9 + 52 + 96 + 496 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×149529649680² (a number of 23 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 455881 + ... + 711959.

It is an arithmetic number, because the mean of its divisors is an integer number (4189929744).

Almost surely, 2^149529649680 is an apocalyptic number.

149529649680 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 149529649680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251395784640).

149529649680 is an abundant number, since it is smaller than the sum of its proper divisors (353261919600).

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

149529649680 is a wasteful number, since it uses less digits than its factorization.

149529649680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256909 (or 256900 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 149529649680 in words is "one hundred forty-nine billion, five hundred twenty-nine million, six hundred forty-nine thousand, six hundred eighty".