148262400000 has 1560 divisors, whose sum is σ = 650374967088. Its totient is φ = 33177600000.

The previous prime is 148262399911. The next prime is 148262400023. The reversal of 148262400000 is 4262841.

148262400000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1560).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 11404799994 + ... + 11404800006.

Almost surely, 2^148262400000 is an apocalyptic number.

148262400000 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 148262400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325187483544).

148262400000 is an abundant number, since it is smaller than the sum of its proper divisors (502112567088).

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

148262400000 is an frugal number, since it uses more digits than its factorization.

148262400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 148262400000 its reverse (4262841), we get a palindrome (148266662841).

The spelling of 148262400000 in words is "one hundred forty-eight billion, two hundred sixty-two million, four hundred thousand".