148151517696 has 1280 divisors, whose sum is σ = 580762828800. Its totient is φ = 36229939200.

The previous prime is 148151517677. The next prime is 148151517713. The reversal of 148151517696 is 696715151841.

148151517696 is a `hidden beast` number, since 1 + 481 + 5 + 1 + 5 + 1 + 76 + 96 = 666.

It is a super-2 number, since 2×148151517696² (a number of 23 digits) contains 22 as substring.

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

Its product of digits (1814400) is a multiple of the sum of its prime divisors (216).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1130927551 + ... + 1130927681.

It is an arithmetic number, because the mean of its divisors is an integer number (453720960).

Almost surely, 2^148151517696 is an apocalyptic number.

148151517696 is a gapful number since it is divisible by the number (16) 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 148151517696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290381414400).

148151517696 is an abundant number, since it is smaller than the sum of its proper divisors (432611311104).

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

148151517696 is a wasteful number, since it uses less digits than its factorization.

148151517696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 216 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 54.

The spelling of 148151517696 in words is "one hundred forty-eight billion, one hundred fifty-one million, five hundred seventeen thousand, six hundred ninety-six".