149181901440 has 256 divisors, whose sum is σ = 558650736000. Its totient is φ = 33383301120.

The previous prime is 149181901409. The next prime is 149181901457. The reversal of 149181901440 is 44109181941.

149181901440 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 149181901392 and 149181901401.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2886 + ... + 546234.

Almost surely, 2^149181901440 is an apocalyptic number.

149181901440 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 149181901440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279325368000).

149181901440 is an abundant number, since it is smaller than the sum of its proper divisors (409468834560).

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

149181901440 is a wasteful number, since it uses less digits than its factorization.

149181901440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543395 (or 543383 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 42.

The spelling of 149181901440 in words is "one hundred forty-nine billion, one hundred eighty-one million, nine hundred one thousand, four hundred forty".