148934658337920 has 3072 divisors, whose sum is σ = 674180798054400. Its totient is φ = 30402715779072.

The previous prime is 148934658337901. The next prime is 148934658337939. The reversal of 148934658337920 is 29733856439841.

It is a happy number.

148934658337920 is a `hidden beast` number, since 1 + 4 + 8 + 9 + 3 + 4 + 6 + 583 + 37 + 9 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (148934658337901) and next prime (148934658337939).

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 168668921799 + ... + 168668922681.

It is an arithmetic number, because the mean of its divisors is an integer number (219459895200).

It is a 2-persistent number, because it is pandigital, and so is 2⋅148934658337920 = 297869316675840, but 3⋅148934658337920 = 446803975013760 is not.

Almost surely, 2^{148934658337920} is an apocalyptic number.

148934658337920 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 148934658337920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337090399027200).

148934658337920 is an abundant number, since it is smaller than the sum of its proper divisors (525246139716480).

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

148934658337920 is a wasteful number, since it uses less digits than its factorization.

148934658337920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1204 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 940584960, while the sum is 72.

The spelling of 148934658337920 in words is "one hundred forty-eight trillion, nine hundred thirty-four billion, six hundred fifty-eight million, three hundred thirty-seven thousand, nine hundred twenty".