148756776100 has 27 divisors (see below), whose sum is σ = 322810573827. Its totient is φ = 59501167680.

The previous prime is 148756776097. The next prime is 148756776101. The reversal of 148756776100 is 1677657841.

It is a happy number.

The square root of 148756776100 is 385690.

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 75585636 + 148681190464 = 8694^2 + 385592^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (148756776101) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 3837616 + ... + 3876184.

Almost surely, 2^148756776100 is an apocalyptic number.

148756776100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

148756776100 is the 385690-th square number.

It is an amenable number.

148756776100 is an abundant number, since it is smaller than the sum of its proper divisors (174053797727).

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

148756776100 is an frugal number, since it uses more digits than its factorization.

148756776100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77152 (or 38576 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 52.

The spelling of 148756776100 in words is "one hundred forty-eight billion, seven hundred fifty-six million, seven hundred seventy-six thousand, one hundred".