148013940501504 has 5280 divisors, whose sum is σ = 624060276224000. Its totient is φ = 34764020121600.

The previous prime is 148013940501481. The next prime is 148013940501509. The reversal of 148013940501504 is 405105049310841.

148013940501504 is a `hidden beast` number, since 1 + 4 + 8 + 0 + 1 + 3 + 94 + 0 + 50 + 1 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 148013940501504.

It is not an unprimeable number, because it can be changed into a prime (148013940501509) by changing a digit.

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 479 ways as a sum of consecutive naturals, for example, 2027588226012 + ... + 2027588226084.

Almost surely, 2^{148013940501504} is an apocalyptic number.

148013940501504 is a gapful number since it is divisible by the number (14) 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 148013940501504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312030138112000).

148013940501504 is an abundant number, since it is smaller than the sum of its proper divisors (476046335722496).

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

148013940501504 is a wasteful number, since it uses less digits than its factorization.

148013940501504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 148013940501504 in words is "one hundred forty-eight trillion, thirteen billion, nine hundred forty million, five hundred one thousand, five hundred four".