148508588688100 has 243 divisors, whose sum is σ = 351612977256891. Its totient is φ = 54435231100800.

The previous prime is 148508588688077. The next prime is 148508588688113. The reversal of 148508588688100 is 1886885805841.

The square root of 148508588688100 is 12186410.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 36704864870116 + 111803723817984 = 6058454^2 + 10573728^2 .

It is a super-2 number, since 2×148508588688100² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 148508588688100.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 71777953866 + ... + 71777955934.

Almost surely, 2^{148508588688100} is an apocalyptic number.

148508588688100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

148508588688100 is the 12186410-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148508588688100

148508588688100 is an abundant number, since it is smaller than the sum of its proper divisors (203104388568791).

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

148508588688100 is an equidigital number, since it uses as much as digits as its factorization.

148508588688100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4252 (or 2126 counting only the distinct ones).

The product of its (nonzero) digits is 157286400, while the sum is 70.

The spelling of 148508588688100 in words is "one hundred forty-eight trillion, five hundred eight billion, five hundred eighty-eight million, six hundred eighty-eight thousand, one hundred".