148938336000 has 432 divisors, whose sum is σ = 537445909728. Its totient is φ = 39604224000.

The previous prime is 148938335993. The next prime is 148938336007. The reversal of 148938336000 is 633839841.

148938336000 is a `hidden beast` number, since 1 + 4 + 8 + 9 + 3 + 8 + 33 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (148938335993) and next prime (148938336007).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148938336007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169055560 + ... + 169056440.

It is an arithmetic number, because the mean of its divisors is an integer number (1244087754).

Almost surely, 2^148938336000 is an apocalyptic number.

148938336000 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 148938336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268722954864).

148938336000 is an abundant number, since it is smaller than the sum of its proper divisors (388507573728).

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

148938336000 is an equidigital number, since it uses as much as digits as its factorization.

148938336000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1505 (or 1478 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 148938336000 in words is "one hundred forty-eight billion, nine hundred thirty-eight million, three hundred thirty-six thousand".