149903408160 has 960 divisors, whose sum is σ = 604619769600. Its totient is φ = 34642944000.

The previous prime is 149903408147. The next prime is 149903408183. The reversal of 149903408160 is 61804309941.

149903408160 is a `hidden beast` number, since 149 + 9 + 0 + 340 + 8 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 417558061 + ... + 417558419.

It is an arithmetic number, because the mean of its divisors is an integer number (629812260).

Almost surely, 2^149903408160 is an apocalyptic number.

149903408160 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 149903408160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302309884800).

149903408160 is an abundant number, since it is smaller than the sum of its proper divisors (454716361440).

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

149903408160 is a wasteful number, since it uses less digits than its factorization.

149903408160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 149903408160 in words is "one hundred forty-nine billion, nine hundred three million, four hundred eight thousand, one hundred sixty".