149901655680 has 384 divisors, whose sum is σ = 610664371200. Its totient is φ = 33157693440.

The previous prime is 149901655679. The next prime is 149901655681. The reversal of 149901655680 is 86556109941.

149901655680 is a `hidden beast` number, since 1 + 4 + 9 + 9 + 0 + 1 + 6 + 556 + 80 = 666.

149901655680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (149901655679) and next prime (149901655681).

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (149901655681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1189956 + ... + 1309884.

It is an arithmetic number, because the mean of its divisors is an integer number (1590271800).

Almost surely, 2^149901655680 is an apocalyptic number.

149901655680 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 149901655680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305332185600).

149901655680 is an abundant number, since it is smaller than the sum of its proper divisors (460762715520).

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

149901655680 is a wasteful number, since it uses less digits than its factorization.

149901655680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119992 (or 119977 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 149901655680 in words is "one hundred forty-nine billion, nine hundred one million, six hundred fifty-five thousand, six hundred eighty".