148133685450240 has 1440 divisors, whose sum is σ = 607874681700000. Its totient is φ = 33232007725056.

The previous prime is 148133685450143. The next prime is 148133685450263. The reversal of 148133685450240 is 42054586331841.

148133685450240 is a `hidden beast` number, since 1 + 4 + 8 + 1 + 33 + 68 + 5 + 4 + 502 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 53886388386 + ... + 53886391134.

It is an arithmetic number, because the mean of its divisors is an integer number (422135195625).

Almost surely, 2^{148133685450240} is an apocalyptic number.

148133685450240 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 148133685450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303937340850000).

148133685450240 is an abundant number, since it is smaller than the sum of its proper divisors (459740996249760).

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

148133685450240 is a wasteful number, since it uses less digits than its factorization.

148133685450240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3660 (or 3634 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 148133685450240 in words is "one hundred forty-eight trillion, one hundred thirty-three billion, six hundred eighty-five million, four hundred fifty thousand, two hundred forty".