148079634013152 has 240 divisors, whose sum is σ = 461137224849840. Its totient is φ = 46454179663872.

The previous prime is 148079634013133. The next prime is 148079634013187. The reversal of 148079634013152 is 251310436970841.

148079634013152 is a `hidden beast` number, since 1 + 4 + 80 + 7 + 9 + 6 + 3 + 401 + 3 + 152 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1122200043 + ... + 1122331989.

It is an arithmetic number, because the mean of its divisors is an integer number (1921405103541).

It is a 1-persistent number, because it is pandigital, but 2⋅148079634013152 = 296159268026304 is not.

Almost surely, 2^{148079634013152} is an apocalyptic number.

148079634013152 is a gapful number since it is divisible by the number (12) 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 148079634013152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230568612424920).

148079634013152 is an abundant number, since it is smaller than the sum of its proper divisors (313057590836688).

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

148079634013152 is a wasteful number, since it uses less digits than its factorization.

148079634013152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157455 (or 157438 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 148079634013152 in words is "one hundred forty-eight trillion, seventy-nine billion, six hundred thirty-four million, thirteen thousand, one hundred fifty-two".