148950240768 has 480 divisors, whose sum is σ = 521720179200. Its totient is φ = 41824677888.

The previous prime is 148950240763. The next prime is 148950240781. The reversal of 148950240768 is 867042059841.

It is a happy number.

148950240768 is a `hidden beast` number, since 1 + 489 + 50 + 2 + 40 + 76 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148950240763) 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, 39963321 + ... + 39967047.

It is an arithmetic number, because the mean of its divisors is an integer number (1086917040).

Almost surely, 2^148950240768 is an apocalyptic number.

148950240768 is a gapful number since it is divisible by the number (18) 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 148950240768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260860089600).

148950240768 is an abundant number, since it is smaller than the sum of its proper divisors (372769938432).

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

148950240768 is an equidigital number, since it uses as much as digits as its factorization.

148950240768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3827 (or 3798 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 148950240768 in words is "one hundred forty-eight billion, nine hundred fifty million, two hundred forty thousand, seven hundred sixty-eight".