148281515991504 has 480 divisors, whose sum is σ = 479982996979200. Its totient is φ = 41857837240320.

The previous prime is 148281515991491. The next prime is 148281515991509. The reversal of 148281515991504 is 405199515182841.

148281515991504 is a `hidden beast` number, since 1 + 4 + 8 + 28 + 1 + 5 + 1 + 599 + 15 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148281515991509) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 95113223077 + ... + 95113224635.

It is an arithmetic number, because the mean of its divisors is an integer number (999964577040).

Almost surely, 2^{148281515991504} is an apocalyptic number.

148281515991504 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 148281515991504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239991498489600).

148281515991504 is an abundant number, since it is smaller than the sum of its proper divisors (331701480987696).

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

148281515991504 is a wasteful number, since it uses less digits than its factorization.

148281515991504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3603 (or 3594 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 63.

The spelling of 148281515991504 in words is "one hundred forty-eight trillion, two hundred eighty-one billion, five hundred fifteen million, nine hundred ninety-one thousand, five hundred four".