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148800000 = 2935531
BaseRepresentation
bin10001101111010…
…00001000000000
3101100222211020010
420313220020000
5301043100000
622433144520
73454531146
oct1067501000
9340884203
10148800000
1176aa2708
12419bb140
1324a9b94b
1415a95596
15d0e3d50
hex8de8200

148800000 has 240 divisors, whose sum is σ = 511467264. Its totient is φ = 38400000.

The previous prime is 148799983. The next prime is 148800013. The reversal of 148800000 is 8841.

It is a tau number, because it is divible by the number of its divisors (240).

It is a self number, because there is not a number n which added to its sum of digits gives 148800000.

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, 4799985 + ... + 4800015.

Almost surely, 2148800000 is an apocalyptic number.

148800000 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 148800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255733632).

148800000 is an abundant number, since it is smaller than the sum of its proper divisors (362667264).

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

148800000 is an frugal number, since it uses more digits than its factorization.

148800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 148800000 is about 12198.3605455815. The cubic root of 148800000 is about 529.9086112748.

Adding to 148800000 its reverse (8841), we get a palindrome (148808841).

The spelling of 148800000 in words is "one hundred forty-eight million, eight hundred thousand".