148007139840 has 960 divisors, whose sum is σ = 623082620160. Its totient is φ = 32965263360.

The previous prime is 148007139827. The next prime is 148007139871. The reversal of 148007139840 is 48931700841.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×148007139840² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 178536546 + ... + 178537374.

It is an arithmetic number, because the mean of its divisors is an integer number (649044396).

Almost surely, 2^148007139840 is an apocalyptic number.

148007139840 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 148007139840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311541310080).

148007139840 is an abundant number, since it is smaller than the sum of its proper divisors (475075480320).

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

148007139840 is an frugal number, since it uses more digits than its factorization.

148007139840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 148007139840 in words is "one hundred forty-eight billion, seven million, one hundred thirty-nine thousand, eight hundred forty".