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148008134800 = 2452370020337
BaseRepresentation
bin1000100111010111111…
…0001110100010010000
3112011000221102021111101
42021311332032202100
54411110040303200
6151554411554144
713456531250041
oct2116576164220
9464027367441
10148008134800
1157851808369
122482775b954
1310c599c29b6
1472410128c8
153cb3cc726a
hex2275f8e890

148008134800 has 30 divisors (see below), whose sum is σ = 355589544818. Its totient is φ = 59203253760.

The previous prime is 148008134767. The next prime is 148008134843. The reversal of 148008134800 is 8431800841.

It can be written as a sum of positive squares in 3 ways, for example, as 41126217616 + 106881917184 = 202796^2 + 326928^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 148008134800.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 185009769 + ... + 185010568.

Almost surely, 2148008134800 is an apocalyptic number.

148008134800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

148008134800 is an abundant number, since it is smaller than the sum of its proper divisors (207581410018).

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

148008134800 is a wasteful number, since it uses less digits than its factorization.

148008134800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370020355 (or 370020344 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 37.

The spelling of 148008134800 in words is "one hundred forty-eight billion, eight million, one hundred thirty-four thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 370020337 740040674 1480081348 1850101685 2960162696 3700203370 5920325392 7400406740 9250508425 14800813480 18501016850 29601626960 37002033700 74004067400 148008134800