149506816680 has 384 divisors, whose sum is σ = 528795540000. Its totient is φ = 36632494080.

The previous prime is 149506816673. The next prime is 149506816699. The reversal of 149506816680 is 86618605941.

149506816680 is a `hidden beast` number, since 1 + 49 + 506 + 8 + 16 + 6 + 80 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 100198837764 + 49307978916 = 316542^2 + 222054^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 332977096 + ... + 332977544.

Almost surely, 2^149506816680 is an apocalyptic number.

149506816680 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 149506816680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264397770000).

149506816680 is an abundant number, since it is smaller than the sum of its proper divisors (379288723320).

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

149506816680 is a wasteful number, since it uses less digits than its factorization.

149506816680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 149506816680 in words is "one hundred forty-nine billion, five hundred six million, eight hundred sixteen thousand, six hundred eighty".