148116971520 has 1344 divisors, whose sum is σ = 647162576640. Its totient is φ = 31468290048.

The previous prime is 148116971503. The next prime is 148116971543. The reversal of 148116971520 is 25179611841.

148116971520 is a `hidden beast` number, since 1 + 4 + 8 + 116 + 9 + 7 + 1 + 520 = 666.

148116971520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×148116971520² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2794659814 + ... + 2794659866.

Almost surely, 2^148116971520 is an apocalyptic number.

148116971520 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 148116971520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323581288320).

148116971520 is an abundant number, since it is smaller than the sum of its proper divisors (499045605120).

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

148116971520 is an equidigital number, since it uses as much as digits as its factorization.

148116971520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 148116971520 in words is "one hundred forty-eight billion, one hundred sixteen million, nine hundred seventy-one thousand, five hundred twenty".