148053142794480 has 2560 divisors, whose sum is σ = 621702288506880. Its totient is φ = 28259352576000.

The previous prime is 148053142794461. The next prime is 148053142794569. The reversal of 148053142794480 is 84497241350841.

It is a happy number.

148053142794480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 135455756814 + ... + 135455757906.

It is an arithmetic number, because the mean of its divisors is an integer number (242852456448).

Almost surely, 2^{148053142794480} is an apocalyptic number.

148053142794480 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 148053142794480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310851144253440).

148053142794480 is an abundant number, since it is smaller than the sum of its proper divisors (473649145712400).

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

148053142794480 is a wasteful number, since it uses less digits than its factorization.

148053142794480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 60.

The spelling of 148053142794480 in words is "one hundred forty-eight trillion, fifty-three billion, one hundred forty-two million, seven hundred ninety-four thousand, four hundred eighty".