148945305600 has 1632 divisors, whose sum is σ = 691719338240. Its totient is φ = 30576476160.

The previous prime is 148945305589. The next prime is 148945305611. The reversal of 148945305600 is 6503549841.

148945305600 is a `hidden beast` number, since 1 + 4 + 8 + 9 + 4 + 5 + 30 + 5 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (148945305589) and next prime (148945305611).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4025548782 + ... + 4025548818.

Almost surely, 2^148945305600 is an apocalyptic number.

148945305600 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 148945305600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345859669120).

148945305600 is an abundant number, since it is smaller than the sum of its proper divisors (542774032640).

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

148945305600 is an equidigital number, since it uses as much as digits as its factorization.

148945305600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 148945305600 in words is "one hundred forty-eight billion, nine hundred forty-five million, three hundred five thousand, six hundred".