148921312320 has 560 divisors, whose sum is σ = 590246224128. Its totient is φ = 35330826240.

The previous prime is 148921312313. The next prime is 148921312327. The reversal of 148921312320 is 23213129841.

148921312320 is a `hidden beast` number, since 1 + 489 + 2 + 131 + 23 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (148921312313) and next prime (148921312327).

It is a super-2 number, since 2×148921312320² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (148921312327) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13395084 + ... + 13406196.

Almost surely, 2^148921312320 is an apocalyptic number.

148921312320 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 148921312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295123112064).

148921312320 is an abundant number, since it is smaller than the sum of its proper divisors (441324911808).

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

148921312320 is a wasteful number, since it uses less digits than its factorization.

148921312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11200 (or 11181 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 148921312320 in words is "one hundred forty-eight billion, nine hundred twenty-one million, three hundred twelve thousand, three hundred twenty".