148051934780100 has 288 divisors, whose sum is σ = 480949390018944. Its totient is φ = 34924403404800.

The previous prime is 148051934780003. The next prime is 148051934780117. The reversal of 148051934780100 is 1087439150841.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 559440 + ... + 17216760.

It is an arithmetic number, because the mean of its divisors is an integer number (1669963159788).

Almost surely, 2^{148051934780100} is an apocalyptic number.

148051934780100 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 148051934780100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240474695009472).

148051934780100 is an abundant number, since it is smaller than the sum of its proper divisors (332897455238844).

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

148051934780100 is a wasteful number, since it uses less digits than its factorization.

148051934780100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16657447 (or 16657440 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 51.

The spelling of 148051934780100 in words is "one hundred forty-eight trillion, fifty-one billion, nine hundred thirty-four million, seven hundred eighty thousand, one hundred".