148947825087360 has 1152 divisors, whose sum is σ = 565166866268160. Its totient is φ = 36126434672640.

The previous prime is 148947825087239. The next prime is 148947825087407. The reversal of 148947825087360 is 63780528749841.

It is a happy number.

148947825087360 is a `hidden beast` number, since 1 + 4 + 8 + 9 + 4 + 7 + 8 + 250 + 8 + 7 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19894189537 + ... + 19894197023.

It is an arithmetic number, because the mean of its divisors is an integer number (490596238080).

It is a 1-persistent number, because it is pandigital, but 2⋅148947825087360 = 297895650174720 is not.

Almost surely, 2^{148947825087360} is an apocalyptic number.

148947825087360 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 148947825087360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282583433134080).

148947825087360 is an abundant number, since it is smaller than the sum of its proper divisors (416219041180800).

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

148947825087360 is a wasteful number, since it uses less digits than its factorization.

148947825087360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7836 (or 7808 counting only the distinct ones).

The product of its (nonzero) digits is 650280960, while the sum is 72.

The spelling of 148947825087360 in words is "one hundred forty-eight trillion, nine hundred forty-seven billion, eight hundred twenty-five million, eighty-seven thousand, three hundred sixty".