148137924280320 has 1800 divisors, whose sum is σ = 591313916893392. Its totient is φ = 35268691230720.

The previous prime is 148137924280303. The next prime is 148137924280327. The reversal of 148137924280320 is 23082429731841.

148137924280320 is a `hidden beast` number, since 1 + 4 + 8 + 1 + 3 + 79 + 242 + 8 + 0 + 320 = 666.

It is a super-2 number, since 2×148137924280320² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (148137924280327) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 82897550467 + ... + 82897552253.

Almost surely, 2^{148137924280320} is an apocalyptic number.

148137924280320 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 148137924280320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295656958446696).

148137924280320 is an abundant number, since it is smaller than the sum of its proper divisors (443175992613072).

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

148137924280320 is an equidigital number, since it uses as much as digits as its factorization.

148137924280320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1907 (or 1841 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 148137924280320 in words is "one hundred forty-eight trillion, one hundred thirty-seven billion, nine hundred twenty-four million, two hundred eighty thousand, three hundred twenty".