148568409900 has 180 divisors, whose sum is σ = 492801248632. Its totient is φ = 38696797440.

The previous prime is 148568409833. The next prime is 148568409907. The reversal of 148568409900 is 9904865841.

148568409900 is a `hidden beast` number, since 14 + 85 + 68 + 409 + 90 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is not an unprimeable number, because it can be changed into a prime (148568409907) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 135024 + ... + 561576.

Almost surely, 2^148568409900 is an apocalyptic number.

148568409900 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 148568409900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246400624316).

148568409900 is an abundant number, since it is smaller than the sum of its proper divisors (344232838732).

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

148568409900 is a wasteful number, since it uses less digits than its factorization.

148568409900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426622 (or 426606 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 148568409900 in words is "one hundred forty-eight billion, five hundred sixty-eight million, four hundred nine thousand, nine hundred".