148067631838440 has 192 divisors, whose sum is σ = 484475937426000. Its totient is φ = 39217560846336.

The previous prime is 148067631838429. The next prime is 148067631838457. The reversal of 148067631838440 is 44838136760841.

148067631838440 is a `hidden beast` number, since 1 + 4 + 8 + 0 + 6 + 7 + 6 + 3 + 183 + 8 + 440 = 666.

148067631838440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 32475158895204 + 115592472943236 = 5698698^2 + 10751394^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1143164562 + ... + 1143294078.

Almost surely, 2^{148067631838440} is an apocalyptic number.

148067631838440 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 148067631838440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242237968713000).

148067631838440 is an abundant number, since it is smaller than the sum of its proper divisors (336408305587560).

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

148067631838440 is a wasteful number, since it uses less digits than its factorization.

148067631838440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150996 (or 150989 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 148067631838440 in words is "one hundred forty-eight trillion, sixty-seven billion, six hundred thirty-one million, eight hundred thirty-eight thousand, four hundred forty".