148345456900 has 72 divisors (see below), whose sum is σ = 326311380360. Its totient is φ = 58531200000.

The previous prime is 148345456877. The next prime is 148345456927. The reversal of 148345456900 is 9654543841.

It can be written as a sum of positive squares in 12 ways, for example, as 76829861124 + 71515595776 = 277182^2 + 267424^2 .

It is a super-2 number, since 2×148345456900² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2689600 + ... + 2744200.

It is an arithmetic number, because the mean of its divisors is an integer number (4532102505).

Almost surely, 2^148345456900 is an apocalyptic number.

148345456900 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 148345456900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163155690180).

148345456900 is an abundant number, since it is smaller than the sum of its proper divisors (177965923460).

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

148345456900 is a wasteful number, since it uses less digits than its factorization.

148345456900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54985 (or 54978 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 49.

The spelling of 148345456900 in words is "one hundred forty-eight billion, three hundred forty-five million, four hundred fifty-six thousand, nine hundred".