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134148548200 = 23521819773793
BaseRepresentation
bin111110011101111100…
…0000110011001101000
3110211021001011022220011
41330323320012121220
54144214012020300
6141343232541304
712456216563032
oct1747370063150
9424231138804
10134148548200
115198a3a3867
1221bba0b1834
13c85b507394
1466c844ac52
15375217ceba
hex1f3be06668

134148548200 has 96 divisors (see below), whose sum is σ = 314022323160. Its totient is φ = 53294284800.

The previous prime is 134148548159. The next prime is 134148548201. The reversal of 134148548200 is 2845841431.

It can be written as a sum of positive squares in 12 ways, for example, as 695556 + 134147852644 = 834^2 + 366262^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (134148548201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35365504 + ... + 35369296.

Almost surely, 2134148548200 is an apocalyptic number.

134148548200 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 134148548200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157011161580).

134148548200 is an abundant number, since it is smaller than the sum of its proper divisors (179873774960).

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

134148548200 is a wasteful number, since it uses less digits than its factorization.

134148548200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4967 (or 4958 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 40.

The spelling of 134148548200 in words is "one hundred thirty-four billion, one hundred forty-eight million, five hundred forty-eight thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 181 200 362 724 905 977 1448 1810 1954 3620 3793 3908 4525 4885 7240 7586 7816 9050 9770 15172 18100 18965 19540 24425 30344 36200 37930 39080 48850 75860 94825 97700 151720 176837 189650 195400 353674 379300 686533 707348 758600 884185 1373066 1414696 1768370 2746132 3432665 3536740 3705761 4420925 5492264 6865330 7073480 7411522 8841850 13730660 14823044 17163325 17683700 18528805 27461320 29646088 34326650 35367400 37057610 68653300 74115220 92644025 137306600 148230440 185288050 370576100 670742741 741152200 1341485482 2682970964 3353713705 5365941928 6707427410 13414854820 16768568525 26829709640 33537137050 67074274100 134148548200