149549127840 has 1152 divisors, whose sum is σ = 643194639360. Its totient is φ = 30863130624.

The previous prime is 149549127809. The next prime is 149549127869. The reversal of 149549127840 is 48721945941.

149549127840 is a `hidden beast` number, since 1 + 4 + 9 + 549 + 12 + 7 + 84 + 0 = 666.

It is a super-3 number, since 3×149549127840³ (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 653052846 + ... + 653053074.

It is an arithmetic number, because the mean of its divisors is an integer number (558328680).

Almost surely, 2^149549127840 is an apocalyptic number.

149549127840 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 149549127840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321597319680).

149549127840 is an abundant number, since it is smaller than the sum of its proper divisors (493645511520).

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

149549127840 is a wasteful number, since it uses less digits than its factorization.

149549127840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 149549127840 in words is "one hundred forty-nine billion, five hundred forty-nine million, one hundred twenty-seven thousand, eight hundred forty".