148920339840 has 128 divisors (see below), whose sum is σ = 475374769920. Its totient is φ = 39654266880.

The previous prime is 148920339829. The next prime is 148920339859. The reversal of 148920339840 is 48933029841.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×148920339840² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1270597 + ... + 1382843.

It is an arithmetic number, because the mean of its divisors is an integer number (3713865390).

Almost surely, 2^148920339840 is an apocalyptic number.

148920339840 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 148920339840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237687384960).

148920339840 is an abundant number, since it is smaller than the sum of its proper divisors (326454430080).

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

148920339840 is a wasteful number, since it uses less digits than its factorization.

148920339840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112960 (or 112948 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The spelling of 148920339840 in words is "one hundred forty-eight billion, nine hundred twenty million, three hundred thirty-nine thousand, eight hundred forty".