148947744240 has 960 divisors, whose sum is σ = 579112934400. Its totient is φ = 35407798272.

The previous prime is 148947744229. The next prime is 148947744271. The reversal of 148947744240 is 42447749841.

148947744240 is a `hidden beast` number, since 1 + 4 + 8 + 94 + 77 + 442 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 756079822 + ... + 756080018.

It is an arithmetic number, because the mean of its divisors is an integer number (603242640).

Almost surely, 2^148947744240 is an apocalyptic number.

148947744240 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 148947744240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289556467200).

148947744240 is an abundant number, since it is smaller than the sum of its proper divisors (430165190160).

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

148947744240 is a wasteful number, since it uses less digits than its factorization.

148947744240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 148947744240 in words is "one hundred forty-eight billion, nine hundred forty-seven million, seven hundred forty-four thousand, two hundred forty".